In an interview Tuesday on Ryan Seacrest’s radio show, Sheen said “Idol” producer Nigel Lythgoe publicly threw his name out there as a possible judge and the idea piqued people’s interest – including his own.

“It seems so out of the blue that it almost made perfect sense. I thought this could be a lot of fun,” he said. “Seriously … I’m genuinely interested. It’s so different, it could be radical.”

Sheen also told Jay Leno Monday night on “The Tonight Show” that his two demands would be that FX and his “Anger Management” team “would have to be into it” and there would need to be a charitable component to him taking the job.

He may not have music experience, but neither did Ellen DeGeneres before she was named a judge for season 9. She left the show after just one season.

Last week, both Jennifer Lopez and Steven Tyler announced they would not be returning for the show’s 12th season.

Other names that have been kicked around as possible replacements include Mariah Carey and former “Idol” runner-up Adam Lambert.