Garrett is best known for his work in the sitcoms "Everybody Loves Raymond" and "'Til Death."
James Gandolfini, Bella Heathcote, Christopher McDonald, Molly Price and Lisa Lampanelli are also attached to appear in the music-driven film, which will be set in 1960s suburbia and which will be Chase's big-screen directorial debut. Chase is the creator and a producer of the iconic mob drama "The Sopranos."
Principal photography on his first movie is to begin soon in New York.
"Brad brings a funny, wry intelligence to his role as a composer/music producer," Chase said in a statement.
He said he is pleased to be working with Gandolfini again after they collaborated for six seasons on "The Sopranos."
"It is so great to be working with Jim again. He is the perfect actor for this part -- a postwar, post-Depression era parent who has given his kid every advantage that he didn't have growing up, but now can't help feeling jealous of the liberated, more adventurous destiny his son is able to enjoy," Chase said.
Steven Van Zandt, another former "Sopranos" cast member, is an executive producer for Chase's movie and will serve as the film's music supervisor.