Jon Hamm and Edward Norton were also among the guests who took in Bernard Pomerance's drama at the Booth Theatre.
The revival of Bernard Pomerance's drama also stars Patricia Clarkson and Alessandro Nivola.
Cooper and Nivola starred in the initial run of this new production of Bernard Pomerance's play at Williamstown Theatre Festival in 2012.
The Tony-winning actress will costar with Jim Parsons in a one-night-only reading of the silent movie-era comedy.
The musical revival is produced by Roundabout Theatre Company.
The Pulitzer Prize-winning Moss Hart and George S. Kaufman comedy will stick around the Lyceum Theatre awhile longer.
The new revival also stars Patricia Clarkson and Alessandro Nivola.
Kristin Chenoweth and Peter Gallagher will lead the cast of the revival musical.
The Big Bang Theory star previously appeared on Broadway in The Normal Heart and Harvey.
The Pulitzer Prize-winning comedy stars James Earl Jones and Rose Byrne.