The Frenchman, who has one year left in his current deal, was a subject of a protest from a section of the fans during the 1-0 win over Norwich City on Saturday and although he plans to remain in his role, will not go as long as the great Ferguson did at Old Trafford.
Ferguson spent 26 years at the helm of the Red Devils while Wenger is in his 20th season with the Gunners.
He said: "I give my best for this club. You don't spend 19 years at a club - like Sir Alex Ferguson spent 26 (years) - without every minute of your time, you give your whole life for that and try to do as well as possible.
"One target is to keep 100 per cent of people happy. Unfortunately, I wasn't able to do that this season."
When asked, if he intends to match Sir Alex's record, he said: "No, no, never. Don't worry."