N.Y. Comp. Codes R. & Regs. tit. 22 § 23.3
In the event the employee wishes to appeal the decision of the administrative authority, the appeal must be presented in writing to the Chief Administrator of the Courts within 15 days of the date of the determination by the administrative authority. Such appeal shall contain a short, clear statement of the grievance, the basis of the grievance, the relief sought and a copy of the decision by the administrative authority. A copy of such appeal also shall be sent to the administrative authority who previously passed upon such grievance. The Chief Administrator shall conduct such review as he or she deems necessary, and the Chief Administrator shall determine the grievance in consultation with, and with the approval of, the Chief Judge. The determination of the Chief Administrator shall be final. The Chief Administrator, with the approval of the Chief Judge, also shall have the power to reverse or modify any decision made by an administrative authority that is not appealed by the employee.
N.Y. Comp. Codes R. & Regs. Tit. 22 § 23.3