The Czech Republic international's current deal expires at the end of the season but the Gunners manager says the midfielder will still be at the Emirates next season
The Czech is free to discuss a move elsewhere in the current winter transfer window, but has previously stated his desire to extend his near eight-year stint at the Emirates Stadium.
And Wenger has confirmed he wants Rosicky to remain at the club, and praised the former Borussia Dortmund man's quality.
"Tomas will stay here at the end of the season," the French coach told reporters on Friday. "He is a marvellous player and contributes well to the team.
"He is certainly a typical Arsenal player in the way that he is mobile, technically sound and team orientated. He is a fantastic footballer."
Rosicky has made 20 appearances in all competitions for the Gunners so far this term, and will be in the squad for Monday night's game at Aston Villa.