Rule 5516. Motion for permission to appeal. A motion for permission to appeal shall be noticed to be heard at a motion day at least eight days and not more than fifteen days after notice of the motion is served, unless there is no motion day during that period, in which case at the first motion day thereafter.
Motion for permission to appeal
N.Y. Civil Practice Law & Rules Law § 5516, under Appeals Generally.
N.Y. Civil Practice Law & Rules Law § 5516