diff --git a/translator/src/main/java/com/google/devtools/j2objc/util/NameTable.java b/translator/src/main/java/com/google/devtools/j2objc/util/NameTable.java
index 73b44d3a01..a8264ec49c 100644
--- a/translator/src/main/java/com/google/devtools/j2objc/util/NameTable.java
+++ b/translator/src/main/java/com/google/devtools/j2objc/util/NameTable.java
@@ -565,9 +565,9 @@ public String getMethodNameFromAnnotation(ExecutableElement method) {
       return annotationName;
     }
 
-    if (method.getParameters().isEmpty()) {
-      return null;
-    }
+    // if (method.getParameters().isEmpty()) {
+    //   return null;
+    // }
 
     // Check if the class or package has the annotation
     TypeElement clazz = ElementUtil.getDeclaringClass(method.getExecutableElement());
diff --git a/translator/src/test/java/com/google/devtools/j2objc/gen/ObjectiveCHeaderGeneratorTest.java b/translator/src/test/java/com/google/devtools/j2objc/gen/ObjectiveCHeaderGeneratorTest.java
index aaf46cef7b..2af4f47b82 100644
--- a/translator/src/test/java/com/google/devtools/j2objc/gen/ObjectiveCHeaderGeneratorTest.java
+++ b/translator/src/test/java/com/google/devtools/j2objc/gen/ObjectiveCHeaderGeneratorTest.java
@@ -1102,6 +1102,244 @@ public void testSwiftNameClassAnnotation() throws IOException {
     assertInTranslation(translation, "NS_SWIFT_NAME(FooBar)");
   }
 
+  public void testSwiftNamePackagePrivateConstructor() throws IOException {
+    String sourceContent = """
+        package com.foo.bar;
+        import com.google.j2objc.annotations.SwiftName;
+        @SwiftName
+        public class FooBar {
+          FooBar(int x) {}
+        }
+        """;
+    String translation = translateSourceFile(sourceContent, "FooBar", "com/foo/bar/FooBar.h");
+    assertThat(translation).isEqualTo("""
+        //
+        //  Generated by the J2ObjC translator.  DO NOT EDIT!
+        //  source: FooBar.java
+        //
+
+        #import <Foundation/Foundation.h>
+        #include "J2ObjC_header.h"
+
+        #pragma push_macro("INCLUDE_ALL_ComFooBarFooBar")
+        #ifdef RESTRICT_ComFooBarFooBar
+        #define INCLUDE_ALL_ComFooBarFooBar 0
+        #else
+        #define INCLUDE_ALL_ComFooBarFooBar 1
+        #endif
+        #undef RESTRICT_ComFooBarFooBar
+
+        #if !defined (ComFooBarFooBar_) && (INCLUDE_ALL_ComFooBarFooBar || defined(INCLUDE_ComFooBarFooBar))
+        #define ComFooBarFooBar_
+
+        @class JavaLangInteger;
+
+         NS_SWIFT_NAME(FooBar)
+        @interface ComFooBarFooBar : NSObject
+
+        #pragma mark Package-Private
+
+        - (instancetype)initWithInt:(int32_t)x NS_SWIFT_NAME(init(x:));
+
+        // Disallowed inherited constructors, do not use.
+
+        - (instancetype)init NS_SWIFT_NAME(init()) NS_UNAVAILABLE;
+
+        @end
+
+        J2OBJC_EMPTY_STATIC_INIT(ComFooBarFooBar)
+
+        FOUNDATION_EXPORT void ComFooBarFooBar_initWithInt_(ComFooBarFooBar *self, int32_t x);
+
+        FOUNDATION_EXPORT ComFooBarFooBar *new_ComFooBarFooBar_initWithInt_(int32_t x) NS_RETURNS_RETAINED;
+
+        FOUNDATION_EXPORT ComFooBarFooBar *create_ComFooBarFooBar_initWithInt_(int32_t x);
+
+        J2OBJC_TYPE_LITERAL_HEADER(ComFooBarFooBar)
+
+
+        #endif
+
+        #pragma pop_macro("INCLUDE_ALL_ComFooBarFooBar")
+        """);
+  }
+
+  public void testSwiftNamePackagePrivateClassConstructor() throws IOException {
+    String sourceContent = """
+        package com.foo.bar;
+        import com.google.j2objc.annotations.SwiftName;
+        @SwiftName
+        class FooBar {
+          FooBar(int x) {}
+        }
+        """;
+    String translation = translateSourceFile(sourceContent, "FooBar", "com/foo/bar/FooBar.h");
+    assertThat(translation).isEqualTo("""
+        //
+        //  Generated by the J2ObjC translator.  DO NOT EDIT!
+        //  source: FooBar.java
+        //
+
+        #import <Foundation/Foundation.h>
+        #include "J2ObjC_header.h"
+
+        #pragma push_macro("INCLUDE_ALL_ComFooBarFooBar")
+        #ifdef RESTRICT_ComFooBarFooBar
+        #define INCLUDE_ALL_ComFooBarFooBar 0
+        #else
+        #define INCLUDE_ALL_ComFooBarFooBar 1
+        #endif
+        #undef RESTRICT_ComFooBarFooBar
+
+        #if !defined (ComFooBarFooBar_) && (INCLUDE_ALL_ComFooBarFooBar || defined(INCLUDE_ComFooBarFooBar))
+        #define ComFooBarFooBar_
+
+        @class JavaLangInteger;
+
+         NS_SWIFT_NAME(FooBar)
+        @interface ComFooBarFooBar : NSObject
+
+        #pragma mark Package-Private
+
+        - (instancetype)initPackagePrivateWithInt:(int32_t)x NS_SWIFT_NAME(init(x:));
+
+        // Disallowed inherited constructors, do not use.
+
+        - (instancetype)init NS_SWIFT_NAME(init()) NS_UNAVAILABLE;
+
+        @end
+
+        J2OBJC_EMPTY_STATIC_INIT(ComFooBarFooBar)
+
+        FOUNDATION_EXPORT void ComFooBarFooBar_initPackagePrivateWithInt_(ComFooBarFooBar *self, int32_t x);
+
+        FOUNDATION_EXPORT ComFooBarFooBar *new_ComFooBarFooBar_initPackagePrivateWithInt_(int32_t x) NS_RETURNS_RETAINED;
+
+        FOUNDATION_EXPORT ComFooBarFooBar *create_ComFooBarFooBar_initPackagePrivateWithInt_(int32_t x);
+
+        J2OBJC_TYPE_LITERAL_HEADER(ComFooBarFooBar)
+
+
+        #endif
+
+        #pragma pop_macro("INCLUDE_ALL_ComFooBarFooBar")
+        """);
+  }
+
+  public void testSwiftNamePackagePrivateConstructorZeroParams() throws IOException {
+    String sourceContent = """
+        package com.foo.bar;
+        import com.google.j2objc.annotations.SwiftName;
+        @SwiftName
+        public class FooBar {
+          FooBar() {}
+        }
+        """;
+    String translation = translateSourceFile(sourceContent, "FooBar", "com/foo/bar/FooBar.h");
+    assertThat(translation).isEqualTo("""
+        //
+        //  Generated by the J2ObjC translator.  DO NOT EDIT!
+        //  source: FooBar.java
+        //
+
+        #import <Foundation/Foundation.h>
+        #include "J2ObjC_header.h"
+
+        #pragma push_macro("INCLUDE_ALL_ComFooBarFooBar")
+        #ifdef RESTRICT_ComFooBarFooBar
+        #define INCLUDE_ALL_ComFooBarFooBar 0
+        #else
+        #define INCLUDE_ALL_ComFooBarFooBar 1
+        #endif
+        #undef RESTRICT_ComFooBarFooBar
+
+        #if !defined (ComFooBarFooBar_) && (INCLUDE_ALL_ComFooBarFooBar || defined(INCLUDE_ComFooBarFooBar))
+        #define ComFooBarFooBar_
+
+         NS_SWIFT_NAME(FooBar)
+        @interface ComFooBarFooBar : NSObject
+
+        #pragma mark Package-Private
+
+        - (instancetype)init NS_SWIFT_NAME(init());
+
+        @end
+
+        J2OBJC_EMPTY_STATIC_INIT(ComFooBarFooBar)
+
+        FOUNDATION_EXPORT void ComFooBarFooBar_init(ComFooBarFooBar *self);
+
+        FOUNDATION_EXPORT ComFooBarFooBar *new_ComFooBarFooBar_init(void) NS_RETURNS_RETAINED;
+
+        FOUNDATION_EXPORT ComFooBarFooBar *create_ComFooBarFooBar_init(void);
+
+        J2OBJC_TYPE_LITERAL_HEADER(ComFooBarFooBar)
+
+
+        #endif
+
+        #pragma pop_macro("INCLUDE_ALL_ComFooBarFooBar")
+        """);
+  }
+
+  public void testSwiftNameZeroParamMethod() throws IOException {
+    String sourceContent = """
+        package com.foo.bar;
+        import com.google.j2objc.annotations.SwiftName;
+        @SwiftName
+        public class FooBar {
+          public void foo() {}
+        }
+        """;
+    String translation = translateSourceFile(sourceContent, "FooBar", "com/foo/bar/FooBar.h");
+    assertThat(translation).isEqualTo("""
+        //
+        //  Generated by the J2ObjC translator.  DO NOT EDIT!
+        //  source: FooBar.java
+        //
+
+        #import <Foundation/Foundation.h>
+        #include "J2ObjC_header.h"
+
+        #pragma push_macro("INCLUDE_ALL_ComFooBarFooBar")
+        #ifdef RESTRICT_ComFooBarFooBar
+        #define INCLUDE_ALL_ComFooBarFooBar 0
+        #else
+        #define INCLUDE_ALL_ComFooBarFooBar 1
+        #endif
+        #undef RESTRICT_ComFooBarFooBar
+
+        #if !defined (ComFooBarFooBar_) && (INCLUDE_ALL_ComFooBarFooBar || defined(INCLUDE_ComFooBarFooBar))
+        #define ComFooBarFooBar_
+
+         NS_SWIFT_NAME(FooBar)
+        @interface ComFooBarFooBar : NSObject
+
+        #pragma mark Public
+
+        - (instancetype)init NS_SWIFT_NAME(init());
+
+        - (void)foo NS_SWIFT_NAME(foo());
+
+        @end
+
+        J2OBJC_EMPTY_STATIC_INIT(ComFooBarFooBar)
+
+        FOUNDATION_EXPORT void ComFooBarFooBar_init(ComFooBarFooBar *self);
+
+        FOUNDATION_EXPORT ComFooBarFooBar *new_ComFooBarFooBar_init(void) NS_RETURNS_RETAINED;
+
+        FOUNDATION_EXPORT ComFooBarFooBar *create_ComFooBarFooBar_init(void);
+
+        J2OBJC_TYPE_LITERAL_HEADER(ComFooBarFooBar)
+
+
+        #endif
+
+        #pragma pop_macro("INCLUDE_ALL_ComFooBarFooBar")
+        """);
+  }
+
   public void testSwiftNameClassAnnotationOverride() throws IOException {
     String sourceContent =
         "  package com.foo.bar;"