California Code, Public Resources Code - PRC § 3334

The pendency of actions before the superior court or proceedings for review before any other court of competent jurisdiction of itself shall not stay or suspend the operation of any order;  however, the superior court or such other court in its discretion, upon its own motion or upon proper application of any party thereto, may, for good cause, stay or suspend, in whole or in part, the operation of any order pending consideration or review thereof.