The former Rangers boss came under criticism from the Englishman after suggesting that Twitter had led to his demise at Loftus Road.
Barton, 29, said there was "a million other things" that cost Warnock his job, comparing him to the fictional manager Mike Bassett.
Writing in The Independent, the 63-year-old said: "I'm told Joey Barton had a few things to say about me on Twitter last night. Obviously, I'm disappointed with the comments, but I don't feel there`s any need to respond.
"I don`t have a problem with anybody at QPR and when I tuned in on Sunday to watch their match at Newcastle I was cheering them on."
QPR will be looking to pick up three points when Wigan visit later this afternoon.