Ahead of a trip to Bournemouth on Sunday, Wenger is under some pressure with his side sitting sixth in the table — five points behind fourth-placed Liverpool.
And Arsenal missed out on participating in the Champions League this campaign after a fifth-placed finish in the Premier League last season. The Gunners also have failed to advance past the round of 16 in that competition since the 2009-10 season.
Wenger, however, signed a new deal at Arsenal last year and said he was as committed as ever to seeing out his contract.
"Did I ever walk away? Never. Why should I change?" he said. "I'm always committed.
"I'm here for 21 years. I just do, in every single decision I make, what is right for the club.
"If I stay for one year or 10 years, it's exactly the same," he added. "If it's me in charge or somebody else, you can only do what is best for the club. And that's what you try to do.
"That has nothing to do with my personal situation."
Wenger, 68, has been in charge at Arsenal since 1996, winning three Premier League titles and seven FA Cup trophies.
Arsenal could still add to that trophy count this season, as the Gunners are level with Chelsea after the first leg of their Carabao Cup semi-final and set to face Swedish side Ostersund in the last 32 of the Europa League in February.