The production will boast set design by Santo Loquasto, lighting design by Brian MacDevitt and costume design by Tom Broecker.
Directed by Mamet, the cast will feature the previously announced James Spader, David Alan Grier, Kerry Washington and Richard Thomas.
Race will be produced by Jeffrey Richards, Jerry Frankel and Steve Traxler, who previously collaborated on Mamet's Speed-the-Plow, Glengarry Glen Ross and November.
The Ethel Barrymore Theatre is located at 243 West 47th Street.