One of the main movie posters is designed in painted artwork, featuring Sir Roger Moore standing in a James Bond-like pose, wearing a bow tie with a blue, black, and white tuxedo, positioned next to two women, with a gigantic casino golden colored roulette wheel, situated behind the three characters.
During an on-set interview, Lee J. Cobb said about his appearing in this movie in an article published in the May 1975 edition of Photoplay (U.K.) Magazine: "Someone slipped, obviously. But I'm glad they asked me. I'm enjoying it. Actually, I love playing comedy. That I'm a low comic at heart, is one of the best kept secrets in the world."
Producer Dimitri De Grunwald said of this movie in its press publicity: "Our film has one object, and that is to entertain. We aim to make That Lucky Touch (1975) a comedy of style and sophistication, a fun picture for a world audience."
Dimitri De Grunwald produced movies which have starred two James Bond actors: Sir Sean Connery in Shalako (1968) (uncredited as an executive producer), and Sir Roger Moore in this movie.