diff --git a/src/apify/_actor.py b/src/apify/_actor.py
index 9fc7ff1a..f4a3b0d2 100644
--- a/src/apify/_actor.py
+++ b/src/apify/_actor.py
@@ -249,11 +249,21 @@ async def finalize() -> None:
             if self._event_listeners_timeout:
                 await self.event_manager.wait_for_all_listeners_to_complete(timeout=self._event_listeners_timeout)
 
-            await self.event_manager.__aexit__(None, None, None)
-            await self._charging_manager_implementation.__aexit__(None, None, None)
+            try:
+                await self.event_manager.__aexit__(None, None, None)
+            except Exception:
+                self.log.exception('Failed to exit event manager')
+
+            try:
+                await self._charging_manager_implementation.__aexit__(None, None, None)
+            except Exception:
+                self.log.exception('Failed to exit charging manager')
 
             # Persist Actor state
-            await self._save_actor_state()
+            try:
+                await self._save_actor_state()
+            except Exception:
+                self.log.exception('Failed to save Actor state')
 
         try:
             await asyncio.wait_for(finalize(), self._cleanup_timeout.total_seconds())