Based in the 1970s, the movie is set inside the mind of graphic designer Charles Swan III, played by Charlie Sheen.
When Charles Swan is dumped by his girlfriend, he retreats into his own fantasy world where he is shown to come face to face with his own flaws and the failures in his life.
Jason Schwartzman, Aubrey Plaza, Patricia Arquette and Mary Elizabeth Winstead also star.
Coppola, son of Francis and brother of Sofia, directed last film CQ back in 2001, although he has recently co-written the Wes Anderson-helmed The Darjeeling Limited and Moonrise Kingdom.
A Glimpse Inside the Mind of Charles Swan III is out in the US on February 8, 2013, with a UK release date yet to be announced.