The striker made the most of a place in the manager's starting line-up by evading Jose Enrique to clinically convert Wayne Rooney's 46th-minute corner.
With his lively performance proving his undoubted worth, Chicharito was replaced in a tactical reshuffle with Michael Carrick coming on in the 74th minute but his strike proved decisive.
"I think sometimes in the box it’s your movement so you can lose big defenders and markers," explained Moyes. "I think Chicha did that and he's done great - his movement in the box is terrific.
"It’s real centre-forward movement, and that is what Chicharito has always done for all his goals. Every time people talk about him, that’s what people tell me. He’s great in the box and he gets his goals that way.
"A lot of credit must go to him for the way he finished it as well. It's okay losing him [Enrique] but the way he adjusted his body to get the finish away means it was a really good goal from our point of view at a good time in the game."
Team-mates Jonny Evans and Alex Büttner joined in the praise of the match-winning Mexican.
"Chicharito scored a brilliant goal," the outstanding Evans told MUTV. "His movement was unbelievable to get away from his marker. We know what he’s like day in, day out in training.