With Len leaving the show at the end of the current series (boo!) there's been loads of speculation about who may replace him in the boss' seat.
Appearing on ITV's Loose Women, however, Craig ruled himself out as a possibility, saying he'd never be able to keep the peace between the panel.
"I don't want the job," he said. "I really don't want the job. I would have to be a mediator and that's not in my nature."
When the panel said it would also mean cutting down on the barbed remarks, he said: "Exactly. I like the part I'm playing."
Craig then gave his thoughts on three rumoured replacements for Craig: Arlene Phillips, who was an original Strictly judge, and professional dancers Brendan Cole and Anton du Beke.
"I love Arlene Phillips," said Craig. "I do miss her from the programme and would have no gripe with Arlene coming on – as long as I can boss her around! Anton and Brendan would be great. I judged with Brendan in New Zealand for three years and he was a very good judge. They are all equally brilliant in hteir own right."
But Craig had his own thoughts for who should take Len's chair: "If I could pick anyone I would say a fresh face from the ballroom and Latin world, someone we don't know. 14 series ago it was [my] delicious face that was unknown!"
Len announced in July he would be stepping down from Strictly Come Dancing at the end of the current series. He's been head judge since series one and for a long period of time would fly between the UK and US every week while judging Dancing With The Stars at the same time.
He said at the time: "In 2004, I was asked to take part in a brand new BBC Saturday night show, and who would have thought me, old Len Goodman, would still be part of this amazing series more than 10 years on.
"This adventure began when I was 60 and now that I've reached my 70s, I've decided after this year it's time to hand the role of Head Judge to someone else. It is an honour being part of the wonderful Strictly Come Dancing family and I'm looking forward to my last series very much and to whatever comes next."