The Gunners have not won the title since 2004, but rather goals from Theo Walcott and Olivier Giroud were sufficient against City regardless of Yaya Toure's late strike.
"It gives us certainty, quality and conviction," said Wenger, 66.
“We have a bit more maturity in the side now, which you could see in the game when we were under pressure.”
Arsenal are now four points clear of third-placed Manchester City, but re- main two points adrift of leaders Leicester City.
With current champions Chelsea fifteenth and apparently out of the title race, the north London side are currently top choices to win the trophy.
They are unbeaten in their last six matches and five of Arsenal's last six top-flight title wins have seen them in second place at Christmas, including two of their three Premier League titles.
“Two or three years ago we were top for a long time but what is special is that this time we lost important players, had to go to Olympiakos, play at Villa and today, and we won those games,” said Wenger.
“That is positive. I believe that we have shown our talents of spirit, organisation and brilliance all together and that gave us three points.
“When we did not have the legs any more we relied on the spirit and that got us through in the end.”