It’s an animated movie and it’s not produced by Disney, Warner Bros or Don Bluth and it aired on Cartoon Network’s theater block. The plot of the movie involves a group of animals who want to be singers, one of them is a dog and one of them is a rooster. The trailer for this movie had mentions of Michael Jackson and Elvis.
Are you absolutely certain it isn’t Don Bluth because you’re giving a pretty good description of Rock-a-Doodle.
I’m 100% sure Don Bluth didn’t make it, one of the singing animals is a donkey and I don’t think there was a donkey in Rock A Doodle. All I know is that it has a French title and an English one, the English one translates to ‘Famous Four’ or something like that.
That’s sounds like “Die furchtlosen Vier” aka The Fearless Four (1997)
https://www.imdb.com/title/tt0119170/
That’s the one.
Solved!