The dancing dog act featuring Ashleigh Butler and her pet Pudsey were crowned winners of the ITV reality show earlier this year.
Green said that the country went "crazy" by choosing the pair to win, and that they are not suitable for this year's Royal Variety Performance.
"A f**king dog won it. A dog that twirls around. It put its paws on her arse and moved around, and the f**king country goes crazy," he told The Sun.
"What, are we all on acid? I've had dogs that can do better f**king s**t than that."
However, he added that he still likes Simon Cowell, whom he described as "an amazing human being".
Cowell masterminded Green's success as part of Robson and Jerome in the mid-1990s.
"Artistically, it wasn't the greatest choice I've ever made, but it's given me economic stability beyond my wildest dreams," the actor said.
"And I have used the money to good effect."
Green currently stars in the second series of Mount Pleasant on Sky1.