Mr. Schenkkan has won a Pulitzer Prize and a Tony Award for his work. The Tony was for “All the Way,” his examination of the first year of Lyndon B. Johnson’s presidency, which starred Bryan Cranston on Broadway in 2014.

Mr. Richards said the vast majority of the new play’s reviews were favorable, but noted that a few — including one from The New York Times’s Jesse Green — were not.

“Our author built a powerful play; however, during this Tony Awards season and during a season which has not been kind to straight plays, we were unable to build an audience,” he said. “It is especially difficult to do so when you are Off Broadway.”

In “Building the Wall,” Gloria, a history professor, interviews a former security officer named Rick in 2019. Mr. Trump has been exiled after a terrorist event prompted him to declare martial law and place Muslims and Mexicans and other groups in containment camps, which devolve into killing chambers. Rick, one of the men who helped carry out the atrocities, is in prison and Gloria has offered to tell his story.