The Tony and Oscar-winning actor had been sidelined from the production since Sept. 30 due to a minor fracture in his left foot. Grey, a Tony Award winner for the iconic role of the Emcee in the original Cabaret, sustained his injury while walking around New York City.
Robert Creighton, who usually plays the Purser in the show, had temporarily stepped into Grey's part.
Grey will perform opposite Stephanie J. Block's Reno Sweeney through Nov. 22 and then once again opposite Tony winner Sutton Foster, who returns to the production Nov. 23.
The Tony-winning revival of Anything Goes, which recently extended through April 29, 2012, is directed and choreographed by Kathleen Marshall and also stars Colin Donnell as Billy Crocker.
The current cast also features John McMartin as Elisha Whitney, Kelly Bishop as Evangeline Harcourt, Adam Godley as Lord Evelyn Oakleigh, Erin Mackey as Hope Harcourt, Jessica Stone as Erma, Walter Charles as Captain, Andrew Cao as Luke and Raymond J. Lee as John. Additional cast members include Clyde Alves, Ward Billeisen, Joyce Chittick, Daniel J. Edwards, Kimberly Fauré, Josh Franklin, Justin Greer, Tari Kelly, Michelle Lookadoo, Shina Ann Morris, Linda Mugleston, Kevin Munhall, Mary Michael Patterson, Adam Perry, Hayley Podschun, William Ryall, Jennifer Savelli, Anthony Wayne and Kristen Beth Williams.
Set aboard a transatlantic cruise ship, Anything Goes has music and lyrics by Cole Porter; original book by P.G. Wodehouse & Guy Bolton and Howard Lindsay & Russel Crouse; and new book by Timothy Crouse and John Weidman.