Cher has some choice words to describe a director with whom she previously worked.

In a sprawling interview with The Times of London, timed to the first-half release of her two-part memoir, she opened up about her childhood and career, including an acrimonious experience filming 1985’s biographical drama Mask with helmer Peter Bogdanovich.

“There are only two directors I didn’t like: Peter Bogdanovich and the guy from The Muppets [Frank Oz, with whom she worked on 1990’s Mermaids]. I actually got the guy from The Muppets fired. I said, either you’re going or I’m going, which is a shame because he’s a really good director, but he had a thing about me. He would go, ‘At least my wife loves me!’”

Detailing her experience with the former filmmaker, the legendary multi-hyphenate said Bogdanovich was misogynistic and pompous. “He was an asshole. He was not nice to...