Before production began, Sir Michael Caine told producer and director Brian Henson, "I'm going to play this movie like I'm working with the Royal Shakespeare Company. I will never wink, I will never do anything Muppety. I am going to play Scrooge as if it is an utterly dramatic role, and there are no puppets around me." Henson replied "Yes, bang on!"
Halfway through production, Sir Michael Caine realized this movie was Brian Henson's directorial debut. Caine was deeply impressed.
The song "When Love Is Gone", sung by Belle, was dropped from the theatrical release (over the objections of producer and director Brian Henson) at the request of Disney chairman Jeffrey Katzenberg, who considered it too sad for young children.) The last-minute decision resulted in a jarring edit in the scene from which it was removed, and caused some confusion about Scrooge, Gonzo, and Rizzo's reactions. The scene was restored in the VHS, LaserDisc, and first DVD (full screen) releases, but it isn't used in television airings, Blu-ray releases, or the Netflix or the original Disney+ version. However, it is available as an "EXTRAS" option on Disney+. In mid-December 2020, Brian Henson announced that the original negatives for the removed scene had been found and would be re-instated (back) into the film, in time for its 30th anniversary in 2022.
In an interview, Kermit the Frog stated that the most important piece of acting advice ever given to him was by Sir Michael Caine on the set of this movie. His advice: "Never blink."