Some pundits suggested the Reds would face a stern examination in South Wales in Moyes' first league game in charge with many predicting an upset. However, braces by Robin van Persie and Danny Welbeck ensured a perfect opening day for the club.
"In the dressing room, it's quiet as they tell me it's what they do here - move on to the next game. That's what I'm going to do as well," he insisted.
"When you're manager of Manchester United your job is to win the games. I was made well aware of it. The players have done that today and they did really well.
"I thought Swansea had a lot of the ball but any team who does come down here will find they will have a lot of the ball and pass it well. They're very well managed under Michael Laudrup and they've improved the squad so I've no doubt they'll do well this year.
"When you're manager of Manchester United your job is to win the games. I was made well aware of it."
- David Moyes