The England attacker only scored once in the Premier League last season but has gone on a goalscoring rampage under the new manager, thanks to a more central role
The England international, profiting from the injury-enforced absences of Wayne Rooney and Robin van Persie, netted his eighth Premier League goal of the season against Swansea City on Saturday.
It is a significant move up from his solitary top-flight strike of 2012-13 and Welbeck is enjoying the chance to come in from his frequent position on the left flank.
"I've enjoyed playing up front and getting good opportunities to score," the 23-year-old told United Review. "If I'm on the left wing then I'll still want to score but I know that I'll have other duties in the team.
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"Obviously I've looked at different aspects of my game and tried to improve certain things but, as I said, now I've been playing up front I'm getting the opportunities in scoring situations and thankfully I've been putting them away."
With two key attackers injured, Moyes has challenged Welbeck to "step up" and aim for 20 goals this season, and the youngster is happy for the emphasis to be on scoring more.
"When it comes down to it, strikers are judged on goals," he remarked. "I know that. I think 20 goals is a good target for any striker to set at this level but I've not sat down and thought: 'I need to reach this many goals this season'.
"I want to score goals wherever I play. I just really want to apply myself for the team and give my best because Manchester United is very important to me."