The Mexican striker scored the only goal as United beat Liverpool 1-0 in the Capital One Cup third round at Old Trafford and his efforts were praised by Moyes who felt his players did a brilliant job in bouncing back to the winners list after Sunday's derby loss to Manchester City.
"I thought it was a really good game. I thought both teams went for it, Liverpool had one or two chances, we did as well," he told Sky Sports 1.
"Both games have been tight and have been sealed by a set-piece, quite similar in a lot of ways, and that was the way we got it tonight.
"(Hernandez's) movement was great. It's sort of real centre forward movement and I think that's what Chicharito's done in all his goals, every time they tell me about him, he's great in the box, he gets his goals.
"And not only his movement, the way he finished it, he had to adjust his body to get a finish away and it was a great time to score the goal, just after half time."