The 61-year-old has been in charge of the Gunners since 1996, but has only a year left on his current contract.
Wenger told The Observer: “I am at a stage where if I extend my contract it means I will finish my career at club level at Arsenal.
“If I go for a different challenge – I have been offered many challenges you know – it has to be now.
“That’s a decision I have to make. But basically, I have no desire to change from here. I have one more year, and we are maybe thinking about extending it.”
Wenger added: “I cannot see that my enthusiasm will drop, but I am not necessarily the same resistance physically as Alex Ferguson.
“At 65 I will certainly move to some different job, unless I still feel like I feel today.”