"I've had everything - Bruno's Justin Bieber haircut, the Borat moustache. Let's just say that life with Sacha is never boring," she said.
The actress recalls how often Cohen has left her cringing in front of fellow Hollywood stars, reported Sun online.
"I remember being invited to a screening of a movie that Jack Black produced and - let's call her a heavy-set lady - gave a really long speech after the film. Then Jack got up at the end and briefly just thanked everyone for coming.
Cohen, 41, who qualified for this year's Sunday Times Rich List with a fortune of 68 million pounds, had Fisher red-faced at the Golden Globes thanks to his bizarre sense of humour.
"He's a disaster. Who goes to the Golden Globes, marches up to Cate Blanchett and says, 'Hi, nice to meet you, what do you do for a living?'. I'm literally running away as fast as I can."