Piven has said he was forced to quit the show because he was suffering from mercury poisoning from eating too much fish and Chinese herbs.
"The producers of 'Speed the Plow' have officially filed a grievance with Actors' Equity re: Jeremy Piven's departure. A date for the arbitration is to be determined," TMZ quoted producer Jeffrey Richards as saying in a statement.
Piven this week defended his decision to exit the play early for health issues during an interview with TV's "Good Morning, America."
The actor is best known for his award-winning portrayal of a ruthless Hollywood agent on "Entourage."
Notable deaths of 2014 [PHOTOS]