Arsenal now trail leaders Leicester by only two points and have opened up a four-point lead over City, who occupy third place.
“But we have not proven anything yet and if we are to talk of the title we have to be even more consistent”, added the 2014 World Cup victor.
Back in the day, they managed to dominate the English Premier League (going undefeated and winning the title in the 2003/2004 season).
Alexis Sanchez has suffered a setback in his return from a hamstring injury, with the Chile forward missing Monday’s win over Manchester City and not expected to feature over the festive period.
“It was an important game, but we have 63 more points to play for so I think we have the same option to win the title”, said the Chilean who claimed his side played better than Arsenal.
Sagna received some criticism as Arsenal took the lead at the Emirates through Theo Walcott. “You just have to make that run”, Walcott said.
Arsenal follow their Boxing Day trip to St Mary’s with home games against Bournemouth and Newcastle.
Paddy Power is offering new customers enhanced odds of 7/1 on Arsenal to beat Southampton on Saturday.
Wenger said that in-form Sanchez and Ozil are required to display their full concentration towards the upcoming league matches at the moment.
Arsenal’s second arrived in first-half stoppage time as a defensive error from Eliaquim Mangala gifted possession to the hosts who, via Ozil again, worked the ball to Giroud.
The loss of Sanchez has been offset by the ongoing brilliance of Mesut Ozil, who defied a chest infection to mastermind victory over title rivals City.