Abramovich desperately wants the Brazilian playmaker to add some flair to his squad but Ronaldinho, 27, is not interested.
Ronaldinho told the Sunday Mirror: "I know Chelsea want to sign me but they are a team I do not want to play for.
"When I faced them in the Champions League they went to kick my feet before trying to get the ball.
"That kind of game is not for me and rather than ever play like that I would say, 'no thank you'.
"I would also say no thanks to an offer from Inter or AC Milan. I am trying to give my best to Barcelona."