The Potters are in danger of dropping into the Championship by the end of the season due to being just three points away from the drop.
In contrast, a victory for United this weekend will leave the Red Devils needing just one more win to wrap up the Premier League title race.
"It's a game that we are looking forward to," Sky Sports News quotes Pulis as saying. "This is why you want to be in the Premier League. We have given them good games here before.
"They have just lost against City, and I'm sure Fergie will have been at them this week. It will be incredibly tough for us."
Stoke have five games left to ensure top-flight survival.