The Frenchman is contracted to stay with the Gunners until June 2014, but after seven seasons without winning a trophy he has come under pressure from some of the Emirates faithful, despite being the most successful manager in the club's history.
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Asked about speculation linking him with Schalke at his press conference prior to Saturday's FA Cup fourth round trip to Brighton, Wenger told reporters: "I am totally committed to this club [Arsenal]."
The Gunners face the prospect of failing to qualify for the Champions League for the first time since 1998, with the Emirates Stadium club currently trailing fourth-placed Tottenham by four points.
They are also 19 points behind leaders Manchester United, meaning there is little prospect of claiming a first league title since 2004, when the side went unbeaten throughout the whole campaign.