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 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.
Last week both Lopez and Tyler announced they would not be returning to the judges panel.
Other names up for possible consideration have included Mariah Carey, Adam Lambert and Nicki Manaj.
Tags: Charlie-Sheen American-Idol