Wenger has now spent 20 years at Arsenal, winning nine major trophies. Six more and he will equal Sir Alex Ferguson’s record at Manchester United.
Asked if he fancied it, the Frenchman said: “No, no, never. Don’t worry!
“I give my best for this club. You don’t spend so many years at a club – like Sir Alex Ferguson spent 26 – without every minute of your time, you give your whole life for that and try to do as well as possible.
“One target is to keep 100% of people happy. Unfortunately I wasn’t able to do that this season.”
Welbeck scored with a first-time shot shortly after coming for Alex Iwobi, after Olivier Giroud headed Hector Bellerin’s cross back into the danger area.
Until then Norwich had given as good as they got, with Nathan Redmond twice denied by Petr Cech. But they couldn’t find an equaliser and have now lost three in a row without scoring.