diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml
index 8be555de3a6b2..f1697038d4015 100644
--- a/.pre-commit-config.yaml
+++ b/.pre-commit-config.yaml
@@ -331,7 +331,6 @@ repos:
               ^airflow\/providers\/google\/cloud\/transfers\/bigquery_to_mysql\.py$|
               ^airflow\/providers\/amazon\/aws\/transfers\/redshift_to_s3\.py$|
               ^airflow\/providers\/google\/cloud\/operators\/compute\.py$|
-              ^airflow\/providers\/google\/cloud\/operators\/vertex_ai\/custom_job\.py$|
               ^airflow\/providers\/amazon\/aws\/operators\/emr\.py$|
               ^airflow\/providers\/amazon\/aws\/operators\/eks\.py$
           )$
diff --git a/airflow/providers/google/cloud/operators/vertex_ai/custom_job.py b/airflow/providers/google/cloud/operators/vertex_ai/custom_job.py
index 0b3d221675e07..e94c39efea1d3 100644
--- a/airflow/providers/google/cloud/operators/vertex_ai/custom_job.py
+++ b/airflow/providers/google/cloud/operators/vertex_ai/custom_job.py
@@ -445,9 +445,19 @@ def __init__(
         self,
         *,
         command: Sequence[str] = [],
+        region: str,
+        parent_model: str | None = None,
+        impersonation_chain: str | Sequence[str] | None = None,
+        dataset_id: str | None = None,
         **kwargs,
     ) -> None:
-        super().__init__(**kwargs)
+        super().__init__(
+            region=region,
+            parent_model=parent_model,
+            impersonation_chain=impersonation_chain,
+            dataset_id=dataset_id,
+            **kwargs,
+        )
         self.command = command
 
     def execute(self, context: Context):
@@ -816,9 +826,19 @@ def __init__(
         *,
         python_package_gcs_uri: str,
         python_module_name: str,
+        region: str,
+        parent_model: str | None = None,
+        impersonation_chain: str | Sequence[str] | None = None,
+        dataset_id: str | None = None,
         **kwargs,
     ) -> None:
-        super().__init__(**kwargs)
+        super().__init__(
+            region=region,
+            parent_model=parent_model,
+            impersonation_chain=impersonation_chain,
+            dataset_id=dataset_id,
+            **kwargs,
+        )
         self.python_package_gcs_uri = python_package_gcs_uri
         self.python_module_name = python_module_name
 
@@ -1190,9 +1210,19 @@ def __init__(
         *,
         script_path: str,
         requirements: Sequence[str] | None = None,
+        region: str,
+        parent_model: str | None = None,
+        impersonation_chain: str | Sequence[str] | None = None,
+        dataset_id: str | None = None,
         **kwargs,
     ) -> None:
-        super().__init__(**kwargs)
+        super().__init__(
+            region=region,
+            parent_model=parent_model,
+            impersonation_chain=impersonation_chain,
+            dataset_id=dataset_id,
+            **kwargs,
+        )
         self.requirements = requirements
         self.script_path = script_path