Warnock, who was sacked on January 8 and subsequently replaced by Mark Hughes, had claimed yesterday that his reputation as manager of QPR was being 'slowly poisoned' by people inside and outside of the club.
Warnock also maintained Twitter was responsible for influencing the decision made by QPR chairman Tony Fernandes.
Barton, however, refuted Warnock's suggestions and likened the 63-year-old to Mike Bassett, the main character in a film which follows the life of a bumbling football manager.
"Lost his job and the guy is blaming everyone but himself! Embarrassing, time to look in the mirror mate. Last thing we need right. Big week," Barton posted on Twitter.
"If I talked about Neil, he'd do well to get another job. Twitter cost him his job???? I can think of a million other things! #shutitwarnock.
"Neil Warnock saying I talk to much. Now that is funny #mikebassett."
Barton also hit out at Warnock's management style at QPR, claiming hs team-mates are now better prepared under Hughes.
"Looking forward to the game against Wigan tomo. 1st time in a while we actually have a plan and seem organised. #3ptsneeded," he said.