He added: 'Wishing him all the best in his future endeavours. The BBC haven't renewed my contract.
He said: "It's quite, actually, hard to talk about".
The seven-year-old from Elgin in Scotland has started a petition to try and get the BBC to change their mind.
He said that he didn't make the decision and it was made by the BBC, and that he was "in shock". I'm quite emotional and a bit raw about it.
"It's done via a process of a phone call and stuff".
"I have had 15 incredible series on the show, I'm very proud of the whole show".
'I will still watch, I'm a big fan, I don't like the decision though'. "It's a great team".
Brendan Cole with fellow Dancing With the Stars judge Paul Mercurio in 2005
Fans of the show expressed their disappointment on social media, and Hawkins paid tribute to Cole's time on the series. "It's a recent decision".
Earlier, Brendan had revealed that he was in "shock" after hearing that he'd been booted off the BBC dancing programme.
"It's an editorial decision". I'll never know the ins and outs.
The star went on to say: "I'm a very strong character, some don't like that".
The dancer, who is now touring with his musical show, All Night Long, will have the time to be able to pursue other things, as well as spend time more with his partner Zoe Hobbs. "It won't be the same without him".
There had been speculation that Brendan would not return to the series following backstage clashes with the judges. "We wish him all the very best for the future".
Meanwhile, James Jordan, formerly a professional on Strictly himself, also took to Twitter to respond to Brendan's axing, writing: "Just seen my mate @BrendanCole has not been asked back on Strictly. I would have preferred to have made the decision myself, but maybe I would never have made it".
Cole did not mention the judges but said of the dancers: "I'll miss my gang, the pros on the show, they're a phenomenal bunch". No disrespect to them. I haven't had one of the ones that had a bit of dance experience that you can really challenge.