Arteta has been accused of holing Arsenal back due to his style of play, with Carragher saying his side played with the "handbrake" on in their 1-1 draw with Man City.
The Spaniard responded, saying: "How can you be so dominant against such a team if you have the handbrake on? Dominance and handbrake are two different words.
“Look at the players we have, starting with the most attacking 'keeper in the league by far. When I watched the game back and saw the stats, I was surprised.
“Because it was impossible for somebody to predict such dominance from Arsenal throughout 96 minutes. It never happened in 17 years of Pep Guardiola as a manager."
Carragher doesn’t quite see it that way and started picking holes in Arteta’s theory on the Stick to Football podcast.
He said: "(Arteta) started with the goalkeeper, saying 'we've got the most attacking goalkeeper in the league'. Then he mentioned something about his full-backs and I thought 'that's not right', because his full-backs are centre-backs. I played in a back four under Gerard Houllier; it was four centre-backs. That's not far away from what Arsenal have got.
"He then mentions (Martin) Zubimendi, okay, a creative player in the No. 6. He then talked about a wide player playing centre forward last season. He was almost trying to argue against it, but wasn't really making that much sense.
"I can understand him defending himself and not listening to the pundits but I thought I hope he's not doubling down on what he's said there to his coaching staff and players. Because what he was actually saying, I'm not quite sure stacked up in proving they are a really offensive team. The team is there in front of you."