Additional casting will be announced soon, the company said.
The limited engagement is to begin May 31. Opening night is set for June 27 at the Laura Pels Theatre in the Harold and Miriam Steinberg Center for Theatre in Manhattan.
The show is to run through Aug. 25.
The Roundabout described the play as a "funny, raw and moving world premiere about the price we pay for defaulting on those we love.
"Tom Durnin did the time for his white-collar crime. Now, he's determined to win back the respect he believes he deserves -- even if that means ripping apart the new life his family has so carefully put together in his absence. Tom's son warily allows his father to camp out on his couch, hoping the man who let everyone down has finally turned a new page," the synopsis said. "After a lifetime of empty promises, can Tom find a place in a family that has worked so hard to move on without him?"