Though he is new to the job of hosting a late-night show, Anthony Atamanuik has already begun stocking his office with creature comforts: an Xbox, a Nespresso machine, bottles of bourbon. His favorite perk, however, may be the wooden lectern where he dictates monologues as President Trump, the character he plays on “The President Show,” a new weekly Comedy Central program that makes its debut on Thursday.

“I feel most comfortable when I’m standing there,” Mr. Atamanuik said. “I rewrite in his voice.”

On Wednesday morning, Mr. Atamanuik, 42, a gregarious improvisational comedian, was in this setting at the Midtown Manhattan offices of “The President Show,” revising a script with some of his staff members.

The theme of this unaired test show was mothers, particularly Mr. Trump’s relationship with his mother, Mary (who recurred throughout the show as a testy disembodied voice only he can hear). For the show’s closing segment, Mr. Atamanuik imagined a homage to “Psycho,” where his Trump character would sit silently, wearing his mother’s wig and shawl, while her disapproving voice berated him in his mind.

Jason Ross, one of his executive producers, wasn’t certain the scene would get big laughs. “There are no hard jokes,” said Mr. Ross, a “Daily Show” alumnus. “It’ll be quiet all the way through.”