Wright was doing punditry work for BT Sport at Stamford Bridge during Saturday's 6-0 defeat for Arsenal, which has dented the club's Premier League title hopes.
The 50-year-old faced jibes from the Chelsea fans in the stadium while standing on the edge of the pitch at the Blues' ground.
However, it is a handful of Arsenal fans who have irritated Wright, who took to Twitter to describe his critics as "f****** mugs", and also stated that he would not take any criticism from fans unless they were at the game.
To all the deluded AFC fans saying I was talking s**t at the game! Where we're you when the Chelsea fans were caning me? At home probably!— Ian Wright (@IanWright0) March 22, 2014
F****** mugs. I will take any criticism for what I say from any of those fans who stayed and clapped at the end of the game! #armchair****s— Ian Wright (@IanWright0) March 22, 2014
Arsenal are currently fourth in the Premier League table, six points ahead of fifth-placed Tottenham Hotspur.