The Frenchman signed a new two year deal with the club in May.
But speaking at a stormy annual general meeting at the Emirates yesterday, Wenger, who was 68 last Sunday, said: “My hunger, my commitment is bigger than ever.
“But I accept that when you have been at a club a long time, everyone questions that.
“I question myself to be better every day – and I will sit down every year with my board to see where I go.
“I am 21 years at the club and I want to feel that I do well and see what the board thinks of my performance. After that we decide where we go from there. My desire has always been to respect my contracts.
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“No matter what happens one day I will always love this club forever and be an eternal fan.
Arsenal chairman Sir Chips Keswick, majority shareholder Stan Kroenke and other board members were booed off the stage at the end of the meeting, amid slow handclaps and abuse.
The Gunners manager received a warmer reception from the 300 shareholders,
He said: “I have dedicated 99 per cent of my lifetime to try to make you as fans happy. Looking at what’s happened today, it’s not easy. I concede that but my resolution and determination is stronger than ever.”
Wenger, who won the FA Cup last year for the third time in four seasons but has not tasted victory in the Premier League since 2004, added: “A club for me is about values that have been created by the past.
“I have been guided all my life here by respecting these values and I serve this club with integrity, and total commitment but I will never betray those people who created these values.
“A few clubs have enormous resources – they can concentrate the best players in the world in their clubs. We have to find a way to compete with these clubs.”