The former Strictly Come Dancing star joined fellow judges Simon Cowell, Amanda Holden and Alesha Dixon this week for the first set of auditions after being announced as the replacement for David Walliams.
Tonioli told the Daily Mail he wasn't aware of the details of talks between Carr and the BGT team, and said there won't be any hard feelings between him and the comic.
He said: "I haven’t had a clue about his negotiations. I love Alan and I know him, he is a very nice guy.
Watch: Bruno Tonioli arrives for filming at Britain's Got Talent auditions
"I didn’t know the situation with him, nothing was announced, and that’s showbusiness. This was down to ITV."
Walliams stepped down from Britain's Got Talent after a decade, following controversy when a leaked recording featured him making disparaging and abusive comments about contestants.
Carr was almost immediately rumoured as a potential replacement, with his friend and BGT veteran Amanda Holden among those publicly supporting him as a contender.
But ITV subsequently announced that Tonioli would be Walliams' replacement, and the new judge said he received a gift from his predecessor.
"David was the first person that sent me a text and a fantastic bottle of wine. He’s a very good friend," Tonioli revealed.
Tonioli said he was holidaying on the Caribbean island of St Lucia when Cowell contacted him about the prospect of filling the vacant chair on the BGT panel.
He added: "I have known Simon forever. I know that the show is right up my street. There were no long negotiations, I just said 'yes, I want to do it'.
"It happened so fast that I have practically nothing to wear. I am going to have to go shopping next week when I get to Manchester. I must make Simon pay."
Tonioli was previously a judge on Strictly Come Dancing between 2004 and 2019, but will now be a part of Britain's Got Talent when the show begins to air in the spring.
Watch: Is Simon Cowell planning a BGT animal spin-off?