By FOX SPORTS staff
As the top scorer of the Premier League last season, van Persie's goals played an integral role in Manchester United's charge to the title.
The Red Devils have also started their new campaign on a winning note, propelled partly by a brace from the Dutchman.
Moyes told The Daily Mail that van Persie's desire for more trophies could be the key to another successful campaign for United.
"His goals on Saturday were top goals, scored by a top goal scorer, and in ways you can see the different it makes. In terms of the performance of the team, we can play better. I thought his finishes made the difference," he pointed out.
"I said to the players the other day: ''How many medals have you won?''. Giggsy had won 13, quite a few of them had won 5 or 6 and Robin said he'd only won one. So for me the challenge is for Robin to keep trying to win medals and I think he's got it, I think he's driven to do it, he wants to succeed. I've been really impressed by him in his training and commitment and in trying to improve himself."
Picking up two goals of his own against Swansea was young star Danny Welbeck, a player Moyes hoped would find himself on the score-sheet regularly this year, after striking just once in the Premier League last season.
"I didn't tell him to be selfish, it was more just that I hoped that he would get in more goal scoring positions. We'd keep saying to him to get in there. Actually he missed a few on the tour, he had a few chances to score in some of the games. But certainly the goal for England the other night will have helped him and I think Saturday's goals will too," he said.
"The first one I liked because it was a tap-in and the second one was, as I said him, the sort of finish of someone with confidence who'd scored 20 goals in the Premier League. I think sometimes you need a run and a bit of confidence and getting the goals. Sometimes you need to get into the right areas and maybe in the past he's not wanted to get right in to get his goals."
Manchester United welcome Chelsea to Old Trafford next Monday for the teams' mouth-watering Premier League clash.