The trio all started together for the first time in the Red Devils' disappointing 2-1 loss at Stoke City last weekend, though Mata combined with Van Persie to create United's only goal.
The Spain international, who has settled quickly at Old Trafford, says playing with footballers of his new team-mates' ilk is easy and is keen to find his scoring touch in a United shirt.
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"Robin, Wayne and Adnan [Januzaj] are all great players and it's a pleasure to play alongside them.
"I want to do my best to help the team. I think my main position on the pitch is to assist and to try to provide opportunities to the strikers. But if I can score then that is even better.
"It's true that in my career I have always scored a good amount of goals as a midfielder. And I will try to score as many goals as I can because it is the best feeling in the world."
The 25-year-old has had no problems adjusting to life in Manchester and says former Spain Under-21 international team-mate David de Gea has helped him settle into his new surroundings.
"The welcome I've had from the lads, from the club, from the manager and the fans from the first day since I came here has been amazing," he continued.
"I will never forget my debut at Old Trafford – seeing the fans in the warm-up wearing my shirt, it was fantastic. Hopefully we can win as many games until the end of the season for them because they deserve that from us.
"David was very important for me coming here. The first week he was with me, almost all the time he was calling me to check I was okay and asking what I needed. I have known him since we were kids and I'm very happy to be here with him."