diff --git a/cosmos/operators/base.py b/cosmos/operators/base.py
index 9a723383f..d82083a23 100644
--- a/cosmos/operators/base.py
+++ b/cosmos/operators/base.py
@@ -139,6 +139,7 @@ def __init__(
         self.dbt_cmd_global_flags = dbt_cmd_global_flags or []
         self.cache_dir = cache_dir
         self.extra_context = extra_context or {}
+        kwargs.pop("full_refresh", None)  # usage of this param should be implemented in child classes
         super().__init__(**kwargs)
 
     def get_env(self, context: Context) -> dict[str, str | bytes | os.PathLike[Any]]:
diff --git a/cosmos/operators/local.py b/cosmos/operators/local.py
index 49bf45293..2ba2b18ff 100644
--- a/cosmos/operators/local.py
+++ b/cosmos/operators/local.py
@@ -145,7 +145,6 @@ def __init__(
         self._dbt_runner: dbtRunner | None = None
         if self.invocation_mode:
             self._set_invocation_methods()
-        kwargs.pop("full_refresh", None)  # usage of this param should be implemented in child classes
         super().__init__(**kwargs)
 
         # For local execution mode, we're consistent with the LoadMode.DBT_LS command in forwarding the environment
diff --git a/tests/operators/test_kubernetes.py b/tests/operators/test_kubernetes.py
index d0be2acad..8e0dda9c0 100644
--- a/tests/operators/test_kubernetes.py
+++ b/tests/operators/test_kubernetes.py
@@ -285,3 +285,68 @@ def test_created_pod():
     ]
     assert container.args == expected_container_args
     assert container.command == []
+
+
+@pytest.mark.parametrize(
+    "operator_class,kwargs,expected_cmd",
+    [
+        (
+            DbtSeedKubernetesOperator,
+            {"full_refresh": True},
+            ["dbt", "seed", "--full-refresh", "--project-dir", "my/dir"],
+        ),
+        (
+            DbtBuildKubernetesOperator,
+            {"full_refresh": True},
+            ["dbt", "build", "--full-refresh", "--project-dir", "my/dir"],
+        ),
+        (
+            DbtRunKubernetesOperator,
+            {"full_refresh": True},
+            ["dbt", "run", "--full-refresh", "--project-dir", "my/dir"],
+        ),
+        (
+            DbtTestKubernetesOperator,
+            {},
+            ["dbt", "test", "--project-dir", "my/dir"],
+        ),
+        (
+            DbtTestKubernetesOperator,
+            {"select": []},
+            ["dbt", "test", "--project-dir", "my/dir"],
+        ),
+        (
+            DbtTestKubernetesOperator,
+            {"full_refresh": True, "select": ["tag:daily"], "exclude": ["tag:disabled"]},
+            ["dbt", "test", "--select", "tag:daily", "--exclude", "tag:disabled", "--project-dir", "my/dir"],
+        ),
+        (
+            DbtTestKubernetesOperator,
+            {"full_refresh": True, "selector": "nightly_snowplow"},
+            ["dbt", "test", "--selector", "nightly_snowplow", "--project-dir", "my/dir"],
+        ),
+    ],
+)
+def test_operator_execute_with_flags(operator_class, kwargs, expected_cmd):
+    task = operator_class(
+        task_id="my-task",
+        project_dir="my/dir",
+        **kwargs,
+    )
+
+    with patch(
+        "airflow.providers.cncf.kubernetes.operators.pod.KubernetesPodOperator.hook",
+        is_in_cluster=False,
+    ), patch("airflow.providers.cncf.kubernetes.operators.pod.KubernetesPodOperator.cleanup"), patch(
+        "airflow.providers.cncf.kubernetes.operators.pod.KubernetesPodOperator.get_or_create_pod",
+        side_effect=ValueError("Mock"),
+    ) as get_or_create_pod:
+        try:
+            task.execute(context={})
+        except ValueError as e:
+            if e != get_or_create_pod.side_effect:
+                raise
+
+    pod_args = get_or_create_pod.call_args.kwargs["pod_request_obj"].to_dict()["spec"]["containers"][0]["args"]
+
+    assert expected_cmd == pod_args