Wenger turned 63 in October and his position has come under increasing scrutiny this season.
The Frenchman, whose contract runs until June 2014, feels he must remain true to the values he inherited when taking over more than a decade ago.
He said: "I am not saying I never made mistakes. I was fortunate to work for this club for 16 years and I hope I respected the traditions of this club. I feel fortunate, but I think somewhere as well I tried at least pay the club back with the trust they had in me."