"Jesse played well and I was hoping he would get a hat-trick because I think for a young boy to do that for Manchester United is a big thing.
"But his performance was very good – he set Robin up for his goal as well with a nice weighted pass. And not only did he play well, he worked hard and showed maturity."
Moyes revealed on Friday that he’d had a one-to-one with Welbeck, who he clearly rates very highly.
The boss said: "I told him that if he continued to work as hard as he has done, he’d get the rewards. I think he showed a little bit of versatility in everything he did tonight."
Wilfried Zaha made his first start in a United shirt and was again promising on the right wing, with Moyes adding: "I thought Zaha made a contribution and was unlucky not to score. We also got the chance to see Michael Keane in the second half."
Moyes, who revealed he had no further updates on his bid to sign Cesc Fabregas, was asked by a Scottish journalist if he was looking forward to mind games with new Chelsea boss Jose Mourinho.
"Your accent sounds like mine and if you’re in Glasgow then you enjoy those sorts of things, so bring it on!" he joked.
United move on to Japan on Sunday for the next leg of Tour 2013 presented by Aon and Moyes will leave Australia with happy memories.
"To get 83,000 fans here tonight is incredible and I thank all of them for coming," he said.