diff --git a/python/pyarrow/tests/test_flight.py b/python/pyarrow/tests/test_flight.py
index 3fcac064876..082d2d86ecd 100644
--- a/python/pyarrow/tests/test_flight.py
+++ b/python/pyarrow/tests/test_flight.py
@@ -1118,7 +1118,7 @@ def test_client_wait_for_available():
     server = None
 
     def serve():
-        global server
+        nonlocal server
         time.sleep(0.5)
         server = FlightServerBase(location)
         server.serve()
diff --git a/python/scripts/run_emscripten_tests.py b/python/scripts/run_emscripten_tests.py
index 9b833525939..82846a65366 100644
--- a/python/scripts/run_emscripten_tests.py
+++ b/python/scripts/run_emscripten_tests.py
@@ -114,7 +114,7 @@ def end_headers(self):
 
 
 def run_server_thread(dist_dir, q):
-    global _SERVER_ADDRESS
+    global _SERVER_ADDRESS  # type: ignore[unresolved-global]
     os.chdir(dist_dir)
     server = http.server.HTTPServer(("", 0), TemplateOverrider)
     q.put(server.server_address)