One of the film's posters was painted artwork and bears a striking resemblance to the traditional design of James Bond cinema posters of the time with Roger Moore standing in a James Bond-like pose, dressed in a tuxedo and bow tie, holding a pistol with a silencer fitted, women positioned either side of him, and a composite image of a casino roulette wheel.
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."
This movie was originally to star Peter Sellers and Sophia Loren. Loren, however, preferred to play opposite Sir Roger Moore. By the time producer Dimitri De Grunwald had made the deal with Moore, Loren lost interest in the movie and left the project.