However, Chad appeared unimpressed with the imitation, tweeting: "Hey Deryck loved the costumes! we were going to dress up as you guys this year but all the parties had celebrity themes haha! -CK (sic)."
Deryck, 32, is the singer in rock band Sum 41, who were huge in 2002, but have had mixed fortunes of late.
Deryck and Avril 'still friends'
Chad, 37, later sent another message to Deryck, confirming he was only joking, writing: "You owe us a couples bowling grudge match see you when I get back from Russia! -CK (sic)."
Although Deryck and Avril, 28, are divorced, they are still friends, and he worked on her 2011 album Goodbye Lullaby as co-producer and guitarist.
Avril is likely to have found Chad's response amusing as she recently admitted she fell for the rocker because of his sense of humour.
She said: "He makes me laugh every day. He takes care of me in every way and is extremely attentive."
