Moyes endured a tough start to his new job, but the side are coming together on the back of an unbeaten eight-match run in all competitions since losing at home to West Brom.
Wenger said: "David Moyes has shown great competence at Everton, so you need to leave him time to really get a grip on Man United, and he is slowly doing that. You see it now in the results.
"When someone has been there for 26 years and goes, it takes time for the guy who comes in.
"It is very dangerous and difficult for the manager who comes in.
"For me, Moyes is dealing very well with the situation."
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