diff --git a/discord/app_commands/checks.py b/discord/app_commands/checks.py
index 29cfe8900..f6c09481d 100644
--- a/discord/app_commands/checks.py
+++ b/discord/app_commands/checks.py
@@ -59,8 +59,8 @@ if TYPE_CHECKING:
     from ..interactions import Interaction
 
     CooldownFunction = Union[
-        Callable[[Interaction], Coroutine[Any, Any, T]],
-        Callable[[Interaction], T],
+        Callable[[Interaction[Any]], Coroutine[Any, Any, T]],
+        Callable[[Interaction[Any]], T],
     ]
 
 __all__ = (
diff --git a/discord/app_commands/commands.py b/discord/app_commands/commands.py
index 04a7ea942..dc4021e63 100644
--- a/discord/app_commands/commands.py
+++ b/discord/app_commands/commands.py
@@ -99,19 +99,19 @@ T = TypeVar('T')
 F = TypeVar('F', bound=Callable[..., Any])
 GroupT = TypeVar('GroupT', bound='Binding')
 Coro = Coroutine[Any, Any, T]
-UnboundError = Callable[['Interaction', AppCommandError], Coro[Any]]
+UnboundError = Callable[['Interaction[Any]', AppCommandError], Coro[Any]]
 Error = Union[
-    Callable[[GroupT, 'Interaction', AppCommandError], Coro[Any]],
+    Callable[[GroupT, 'Interaction[Any]', AppCommandError], Coro[Any]],
     UnboundError,
 ]
-Check = Callable[['Interaction'], Union[bool, Coro[bool]]]
+Check = Callable[['Interaction[Any]'], Union[bool, Coro[bool]]]
 Binding = Union['Group', 'commands.Cog']
 
 
 if TYPE_CHECKING:
     CommandCallback = Union[
-        Callable[Concatenate[GroupT, 'Interaction', P], Coro[T]],
-        Callable[Concatenate['Interaction', P], Coro[T]],
+        Callable[Concatenate[GroupT, 'Interaction[Any]', P], Coro[T]],
+        Callable[Concatenate['Interaction[Any]', P], Coro[T]],
     ]
 
     ContextMenuCallback = Union[
@@ -120,15 +120,15 @@ if TYPE_CHECKING:
         # Callable[[GroupT, 'Interaction', User], Coro[Any]],
         # Callable[[GroupT, 'Interaction', Message], Coro[Any]],
         # Callable[[GroupT, 'Interaction', Union[Member, User]], Coro[Any]],
-        Callable[['Interaction', Member], Coro[Any]],
-        Callable[['Interaction', User], Coro[Any]],
-        Callable[['Interaction', Message], Coro[Any]],
-        Callable[['Interaction', Union[Member, User]], Coro[Any]],
+        Callable[['Interaction[Any]', Member], Coro[Any]],
+        Callable[['Interaction[Any]', User], Coro[Any]],
+        Callable[['Interaction[Any]', Message], Coro[Any]],
+        Callable[['Interaction[Any]', Union[Member, User]], Coro[Any]],
     ]
 
     AutocompleteCallback = Union[
-        Callable[[GroupT, 'Interaction', str], Coro[List[Choice[ChoiceT]]]],
-        Callable[['Interaction', str], Coro[List[Choice[ChoiceT]]]],
+        Callable[[GroupT, 'Interaction[Any]', str], Coro[List[Choice[ChoiceT]]]],
+        Callable[['Interaction[Any]', str], Coro[List[Choice[ChoiceT]]]],
     ]
 else:
     CommandCallback = Callable[..., Coro[T]]