Appeals from judgments or orders entered in any proceeding or action alleging that a person is illegally imprisoned or otherwise unlawfully restrained in his liberty within the State may be prosecuted in accordance with any of the methods specified in section 600.5 of this Part. Such appeals may also be brought on for hearing in such mode, time and manner and on such terms and conditions as this court or a justice thereof may direct by an order granted on the application of any party to the appeal.
N.Y. Comp. Codes R. & Regs. Tit. 22 § 600.18