N.Y. Comp. Codes R. & Regs. tit. 22, § 670.4
(2) Oral argument. Where the notice required by paragraph (1) of this subdivision has been given, the party seeking relief and/or the party opposing the relief sought may request the opportunity to present argument to the justice to whom the application will be presented, which request shall be determined in the discretion of that justice.
(b) Permission to appeal to the Appellate Division in a civil matter.
A motion for permission to appeal to the Appellate Division pursuant to CPLR 5701(c) and Family Court Act section 1112 shall be addressed to the court.
(c) Leave to file amicus curiae brief.
A motion for leave to file an amicus brief shall be made in accordance with section 1250.4(f) of this Title, and shall include one copy of the proposed brief.
(a) Motions which include requests for interim relief.