N.Y. Comp. Codes R. & Regs. tit. 21, § 7.11
Any person eligible for inclusion in any list filed with the commission who was omitted or who was subsequently removed from such list pursuant to section 7.10 of this Part may be included or restored to such list upon application by the employer if the commission determines that sufficient cause exists for such inclusion or restoration. Any person removed from a voluntary gang pursuant to section 7.10 of this Part may be restored for good cause to such gang by the commission.