The activist and professional partner Lacey Schwimmer were eliminated from the ABC competition on Tuesday night following their tango performance on Monday which earned them 19 out of a possible 30 points.
Bono had earlier admitted that he was hurt by judge Bruno Tonioli's critique of the dance where he was described as "like... a cute penguin trying to be a big, menacing bird of prey".
Appearing alongside Schwimmer on Jimmy Kimmel Live for the traditional post-exit interview, Bono revealed that he and Schwimmer had been "a little p*ssed" following their performance.
Schwimmer said that it was unfair to call Bono "every round animal out there", while he added: "That was the first thing and we also think we did a good job, we thought we did a good dance."
Bono, who admitted that he never thought he could win the competition, went on to say: "I don't have a problem being on that show and being critiqued about my dancing. I was hoping for that because that's how you learn and get better, but being compared to animals or round objects didn't help me grow as dancer."
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When asked by Kimmel if he planned on "getting revenge" on Tonioli, Bono laughed off the suggestion, although Schwimmer joked: "I can't say that right now because then I'll give it away!"
As for his plans for the future, he said: "I'm going to take a little break and buy Lacey a big present!"
Bono's mum Cher has also voiced her annoyance at some of the comments from Tonioli and fellow judge Len Goodman, writing on Twitter following the result that she needed to "hold her temper".
"I Have Got 2Hold my TEMPER ! MY Tears R OK ! Congratulations Chaz I'm SO PROUD OF U ! This was YOUR Quest...& u Followed your Star. (sic)"
Dancing with the Stars airs Mondays and Tuesdays on ABC.
Watch more of Chaz Bono on Jimmy Kimmel Live below: