diff --git a/jedi/inference/gradual/annotation.py b/jedi/inference/gradual/annotation.py
index 257de6e5..cfde9f0f 100644
--- a/jedi/inference/gradual/annotation.py
+++ b/jedi/inference/gradual/annotation.py
@@ -91,7 +91,7 @@ def _split_comment_param_declaration(decl_text):
         debug.warning('Comment annotation is not valid Python: %s' % decl_text)
         return []
 
-    if node.type == 'name':
+    if node.type in ['name', 'atom_expr', 'power']:
         return [node.get_code().strip()]
 
     params = []
diff --git a/test/completion/pep0484_comments.py b/test/completion/pep0484_comments.py
index 9f0661ec..902d1a15 100644
--- a/test/completion/pep0484_comments.py
+++ b/test/completion/pep0484_comments.py
@@ -38,6 +38,20 @@ def test(a, b):
     #? str()
     e
 
+class AA:
+    class BB:
+        pass
+
+def test(a):
+    # type: (AA.BB) -> None
+    #? AA.BB()
+    a
+
+def test(a):
+    # type: (AA.BB,) -> None
+    #? AA.BB()
+    a
+
 a,b = 1, 2 # type: str, float
 #? str()
 a