Frenchman doesn't expect Blues to sack Ancelotti
The north Londoners ended a barren run against the Blues with a vital victory that takes them into second place in the table and the Frenchman praised a mature performance.
"We have matured, I have said that many times, we have been frustrated a few times this season away from home in big games where we’ve felt we were more in the game than we got out of it," he told Sky Sports after the game.
"We were disciplined, mature, we played for each other I think the first goal, as I said before the game, played a vital part in it."
Goals from Alex Song, Theo Walcott and Cesc Fabregas did the damage for Arsenal and whilst Branislav Ivanovic grabbed a goal back for Chelsea they rarely troubled Lukasz Fabianski in goal.
Wenger praised his side’s defensive display and insisted victory had reinforced his team’s belief they could claim the Premier League title.
"We were quite solid, they scored on a set piece but overall in the open game we were very solid," he added.
"[This win has] strengthened our belief that we can challenge for the championship and it strengthens out belief that we are on the right way but there is still some room for improvement."
With regards to Chelsea's performance and their title credentials after the defeat, Wenger remains adamant they are still in the race for the championship and admitted he doesn't expect Carlo Ancelotti to be sacked, despite the Blues' poor run of form.
"I still count Chelsea as one of the big contenders for the championship, so because of the defeat tonight I do not think they are out of the running, not at all," Wenger told reporters.
"I rate Ancelotti very highly and I cannot believe that [that he will be sacked].
"We are not any more [men against boys], that is for sure, it is always very difficult to say because every game is different. I feel over the last two years we have matured. But this title race is very difficult to predict, and we need to show that we have got that out of our system and can be consistent.
"We are not very far, we are in December and we are in touch with Man U, we need to be at our best and continue to improve. I hope that the victory tonight will convince the players we are on the right path."
With regards to Walcott's performance, Wenger admitted that he feels the England winger has improved and that it was one of the 21-year-old's best performance for the club to date.
"Yes [it was one of Walcott's best games for the club]," he continued.
"I feel that he has improved and that tonight he has given an assist, has scored and was always a threat. He gave us a balance tonight because we like to go to feet, players like to go to the ball but he also likes to go behind."