The 25-year-old Spaniard made his United debut in the 2-0 win over Cardiff on Tuesday after completing his record move to Old Trafford last weekend. Mata now hopes to be involved again on Saturday at the Britannia Stadium in a game he says the Reds will relish.
"It has always been difficult to play against Stoke. But if you try to play quickly, you can get chances to score and put yourself in a good position," he told ManUtd.com and PA Sport.
"They like to play long balls and they are a physical team, but we just need to play our own game with the quality players we have."
When asked if the players would fear Stoke's battling approach Mata insisted the Reds are more than capable of holding their own.
"No, we won't be intimidated," he added. "The thing I like the most is to play. No matter what the stadium. I like to play in a stadium like this because it helps me to improve and I hope I can play a great game."