diff --git a/django/contrib/auth/management/__init__.py b/django/contrib/auth/management/__init__.py
index 40ada52e29..21d357e32b 100644
--- a/django/contrib/auth/management/__init__.py
+++ b/django/contrib/auth/management/__init__.py
@@ -126,10 +126,10 @@ class RenamePermission(migrations.RunPython):
         from django.contrib.auth.models import Permission
 
         db = schema_editor.connection.alias
-        ctypes = ContentType.objects.filter(
+        ctypes = ContentType.objects.using(db).filter(
             app_label=self.app_label, model__icontains=old_model.lower()
         )
-        for permission in Permission.objects.filter(
+        for permission in Permission.objects.using(db).filter(
             content_type_id__in=ctypes.values("id")
         ):
             prefix = permission.codename.split("_")[0]
diff --git a/tests/auth_tests/test_management.py b/tests/auth_tests/test_management.py
index 7e8d01cbce..46fe310db2 100644
--- a/tests/auth_tests/test_management.py
+++ b/tests/auth_tests/test_management.py
@@ -1546,6 +1546,7 @@ class PermissionRenameOperationsTests(TransactionTestCase):
         "django.contrib.auth",
         "auth_tests",
     ]
+    databases = {"default", "other"}
 
     def setUp(self):
         app_config = apps.get_app_config("auth_tests")
@@ -1605,6 +1606,26 @@ class PermissionRenameOperationsTests(TransactionTestCase):
                 Permission.objects.filter(codename=f"{action}_newmodel").exists()
             )
 
+    def test_permission_rename_other_db(self):
+        ct = ContentType.objects.using("default").create(
+            app_label="auth_tests", model="oldmodel"
+        )
+        permission = Permission.objects.using("default").create(
+            codename="add_oldmodel",
+            name="Can add old model",
+            content_type=ct,
+        )
+        # RenamePermission respects the database.
+        call_command("migrate", "auth_tests", verbosity=0, database="other")
+        permission.refresh_from_db()
+        self.assertEqual(permission.codename, "add_oldmodel")
+        self.assertFalse(
+            Permission.objects.using("other").filter(codename="add_oldmodel").exists()
+        )
+        self.assertTrue(
+            Permission.objects.using("other").filter(codename="add_newmodel").exists()
+        )
+
     @mock.patch(
         "django.db.router.allow_migrate_model",
         return_value=False,