Wenger said "it is wrong for Moyes to come out on what he pretends to have heard in the tunnel" after the Scot claimed Fabregas made "disgusting" comments towards officials this week.
The Spaniard was alleged to have approached the fourth official at half-time during Arsenal's 2-1 win over Everton at the Emirates Stadium on Tuesday to complain about the visitors' goal.
Arsenal were angry Louis Saha had not been flagged offside before opening the scoring in the Barclays Premier League clash.
Moyes said: "I have to defend the integrity of Everton and David Moyes as well. I think it has been said I didn't see it or I didn't hear it. Well I was there and I saw it and I heard it. Cesc questioned Everton's integrity by suggesting we possibly had given money to the referee. In doing that he also questioned the integrity of the referees.
"If I had said that or any other player had said that I think that would have warranted a sending off. I think Arsene said there was an unwritten rule that you don't say things which are in the tunnel.Well his player was the one who broke the unwritten rule. Because what he did was question Everton football club, that we may be paying officials."
Source: PA
Source: PA