The experienced midfielders have been involved in a war of words ever since Barton's arrival at Rangers in the summer.
The former Newcastle United and QPR star claimed that Brown was 'nowhere near my level' as a player soon after signing for Mark Warburton's side but Roberts, who is on loan with the Bhoys from Manchester City, says he is not bothered by all the talk.
"I just want to play my football," Roberts said.
"I don't want to get involved in that. You know what Scott is like, Scott just gets on with his football, he loves playing his football and he loves playing for Celtic.