The Leonard Cohen: Bird on a Wire and The World of Liberace director also told Digital Spy that he turned down the chance to work with U2 before they made Rattle and Hum.
"I missed my chance with Adele," Palmer said.
"My wife had spotted Adele long before she had become really famous and said, 'You've got to listen to this voice, it's really amazing'.
"I agreed it was amazing, but I said, 'I don't make that kind of film anymore'. Then I saw a brief interview with her and I thought, my god this is a fascinating woman - to hell with the voice, it's a fascinating woman."
He added: "I immediately applied. I wrote to them, saying 'Would you ever consider...' I had a very good response from whoever looked after her then.