diff --git a/changelog/1121.feature.rst b/changelog/1121.feature.rst
new file mode 100644
index 0000000000..1294ba4044
--- /dev/null
+++ b/changelog/1121.feature.rst
@@ -0,0 +1 @@
+Make :class:`Interaction` and subtypes accept the bot type as a generic parameter to denote the type returned by the :attr:`~Interaction.bot` and :attr:`~Interaction.client` properties.
diff --git a/disnake/ext/commands/params.py b/disnake/ext/commands/params.py
index 2ab93359d2..0e702385ad 100644
--- a/disnake/ext/commands/params.py
+++ b/disnake/ext/commands/params.py
@@ -31,7 +31,6 @@
     Type,
     TypeVar,
     Union,
-    get_args,
     get_origin,
     get_type_hints,
 )
@@ -110,17 +109,26 @@
 
 
 def issubclass_(obj: Any, tp: Union[TypeT, Tuple[TypeT, ...]]) -> TypeGuard[TypeT]:
+    """Similar to the builtin `issubclass`, but more lenient.
+    Can also handle unions (`issubclass(Union[int, str], int)`) and
+    generic types (`issubclass(X[T], X)`) in the first argument.
+    """
     if not isinstance(tp, (type, tuple)):
         return False
-    elif not isinstance(obj, type):
-        # Assume we have a type hint
-        if get_origin(obj) in (Union, UnionType, Optional):
-            obj = get_args(obj)
-            return any(isinstance(o, type) and issubclass(o, tp) for o in obj)
-        else:
-            # Other type hint specializations are not supported
-            return False
-    return issubclass(obj, tp)
+    elif isinstance(obj, type):
+        # common case
+        return issubclass(obj, tp)
+
+    # At this point, `obj` is likely a generic type hint
+    if (origin := get_origin(obj)) is None:
+        return False
+
+    if origin in (Union, UnionType):
+        # If we have a Union, try matching any of its args
+        # (recursively, to handle possibly generic types inside this union)
+        return any(issubclass_(o, tp) for o in obj.__args__)
+    else:
+        return isinstance(origin, type) and issubclass(origin, tp)
 
 
 def remove_optionals(annotation: Any) -> Any:
@@ -912,7 +920,6 @@ def isolate_self(
         parametersl.pop(0)
     if parametersl:
         annot = parametersl[0].annotation
-        annot = get_origin(annot) or annot
         if issubclass_(annot, ApplicationCommandInteraction) or annot is inspect.Parameter.empty:
             inter_param = parameters.pop(parametersl[0].name)
 
@@ -984,9 +991,7 @@ def collect_params(
             injections[parameter.name] = default
         elif parameter.annotation in Injection._registered:
             injections[parameter.name] = Injection._registered[parameter.annotation]
-        elif issubclass_(
-            get_origin(parameter.annotation) or parameter.annotation, ApplicationCommandInteraction
-        ):
+        elif issubclass_(parameter.annotation, ApplicationCommandInteraction):
             if inter_param is None:
                 inter_param = parameter
             else:
@@ -1120,10 +1125,7 @@ def expand_params(command: AnySlashCommand) -> List[Option]:
         if param.autocomplete:
             command.autocompleters[param.name] = param.autocomplete
 
-    if issubclass_(
-        get_origin(annot := sig.parameters[inter_param].annotation) or annot,
-        disnake.GuildCommandInteraction,
-    ):
+    if issubclass_(sig.parameters[inter_param].annotation, disnake.GuildCommandInteraction):
         command._guild_only = True
 
     return [param.to_option() for param in params]
diff --git a/tests/ext/commands/test_params.py b/tests/ext/commands/test_params.py
index a3b4ea4289..8e8ca91304 100644
--- a/tests/ext/commands/test_params.py
+++ b/tests/ext/commands/test_params.py
@@ -10,6 +10,7 @@
 import disnake
 from disnake import Member, Role, User
 from disnake.ext import commands
+from disnake.ext.commands import params
 
 OptionType = disnake.OptionType
 
@@ -66,6 +67,53 @@ async def test_verify_type__invalid_member(self, annotation, arg_types) -> None:
             with pytest.raises(commands.errors.MemberNotFound):
                 await info.verify_type(mock.Mock(), arg_mock)
 
+    def test_isolate_self(self) -> None:
+        def func(a: int) -> None:
+            ...
+
+        (cog, inter), parameters = params.isolate_self(params.signature(func))
+        assert cog is None
+        assert inter is None
+        assert parameters == ({"a": mock.ANY})
+
+    def test_isolate_self_inter(self) -> None:
+        def func(i: disnake.ApplicationCommandInteraction, a: int) -> None:
+            ...
+
+        (cog, inter), parameters = params.isolate_self(params.signature(func))
+        assert cog is None
+        assert inter is not None
+        assert parameters == ({"a": mock.ANY})
+
+    def test_isolate_self_cog_inter(self) -> None:
+        def func(self, i: disnake.ApplicationCommandInteraction, a: int) -> None:
+            ...
+
+        (cog, inter), parameters = params.isolate_self(params.signature(func))
+        assert cog is not None
+        assert inter is not None
+        assert parameters == ({"a": mock.ANY})
+
+    def test_isolate_self_generic(self) -> None:
+        def func(i: disnake.ApplicationCommandInteraction[commands.Bot], a: int) -> None:
+            ...
+
+        (cog, inter), parameters = params.isolate_self(params.signature(func))
+        assert cog is None
+        assert inter is not None
+        assert parameters == ({"a": mock.ANY})
+
+    def test_isolate_self_union(self) -> None:
+        def func(
+            i: Union[commands.Context, disnake.ApplicationCommandInteraction[commands.Bot]], a: int
+        ) -> None:
+            ...
+
+        (cog, inter), parameters = params.isolate_self(params.signature(func))
+        assert cog is None
+        assert inter is not None
+        assert parameters == ({"a": mock.ANY})
+
 
 # this uses `Range` for testing `_BaseRange`, `String` should work equally
 class TestBaseRange:
@@ -189,7 +237,6 @@ def test_string(self) -> None:
         assert info.max_value is None
         assert info.type == annotation.underlying_type
 
-    # uses lambdas since new union syntax isn't supported on all versions
     @pytest.mark.parametrize(
         "annotation_str",
         [