diff --git a/airflow/providers/exasol/hooks/exasol.py b/airflow/providers/exasol/hooks/exasol.py
index 784c57cde0661..88ff1b77205ef 100644
--- a/airflow/providers/exasol/hooks/exasol.py
+++ b/airflow/providers/exasol/hooks/exasol.py
@@ -164,6 +164,10 @@ def run(
                 with closing(conn.execute(query, parameters)) as cur:
                     results = []
 
+                    if cur.result_type != "resultSet":
+                        # can't be iterated over
+                        break
+
                     if handler is not None:
                         cur = handler(cur)
 
diff --git a/tests/providers/exasol/hooks/test_exasol.py b/tests/providers/exasol/hooks/test_exasol.py
index bf85465629c43..3440693e60111 100644
--- a/tests/providers/exasol/hooks/test_exasol.py
+++ b/tests/providers/exasol/hooks/test_exasol.py
@@ -137,6 +137,15 @@ def test_run_no_queries(self):
             self.db_hook.run(sql=[])
         assert err.value.args[0] == "List of SQL statements is empty"
 
+    def test_no_result_set(self):
+        """Queries like DROP and SELECT are of type rowCount (not resultSet),
+        which raises an error in pyexasol if trying to iterate over them"""
+        self.cur.result_type = mock.Mock()
+        self.cur.result_type.return_value = 'rowCount'
+
+        sql = 'SQL'
+        self.db_hook.run(sql)
+
     def test_bulk_load(self):
         with pytest.raises(NotImplementedError):
             self.db_hook.bulk_load('table', '/tmp/file')