The Gunners boss brought an end to that frustrating streak at just the right time as goals from Granit Xhaka and Danny Welbeck improved Arsenal's chances of salvaging a troubled season by finishing in the top four.
Sixth-placed Arsenal are now six points behind fourth-placed Manchester City with four games to play, while Pep Guardiola's side have only three matches remaining.
Downplaying his rivalry with Mourinho, Wenger said: "It is not manager against manager.