diff --git a/aiomysql/pool.py b/aiomysql/pool.py
index eaaddbe0..a1f19ae7 100644
--- a/aiomysql/pool.py
+++ b/aiomysql/pool.py
@@ -267,4 +267,10 @@ async def __aenter__(self):
 
     async def __aexit__(self, exc_type, exc_val, exc_tb):
         self.close()
-        await self.wait_closed()
+        try:
+            await self.wait_closed()
+        except RuntimeError as e:
+            if "Event loop is closed" in str(e):
+                # Gracefully handle event loop shutdown during asyncio.run()
+                return
+            raise
diff --git a/aiomysql/sa/engine.py b/aiomysql/sa/engine.py
index 243e5001..38713d07 100644
--- a/aiomysql/sa/engine.py
+++ b/aiomysql/sa/engine.py
@@ -195,7 +195,13 @@ async def __aenter__(self):
 
     async def __aexit__(self, exc_type, exc_val, exc_tb):
         self.close()
-        await self.wait_closed()
+        try:
+            await self.wait_closed()
+        except RuntimeError as e:
+            if "Event loop is closed" in str(e):
+                # Gracefully handle event loop shutdown during asyncio.run()
+                return
+            raise
 
 
 _EngineContextManager = _PoolContextManager