Van Persie plundered 30 Premier League goals for Arsenal in the 2011-12 season and 25 for United in last season's title-winning campaign, meaning he is on course for a hat-trick of Golden Boot wins, awarded each year to the league's top scorer.
Asked if van Persie could surpass his remarkable achievements in his first season at United, Moyes said: "I hope he can.
"His goals [against Swansea] were top goals, those of a top goalscorer, and in ways you can see the different it makes.
"The performance of the team - we can play better - but I thought his finishes made the difference."
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