However, the 35-year-old says that scalping the Red Devils is just the beginning, and hopes that his troops can kick on from the victory.
"We can get better, we can improve on that," he told the club's official website.
"We can be sharper in certain areas, but the whole key to it all was us coming together as a group, working for each other and I think everyone saw that.
"We've worked very hard in pre-season, putting structures in place were we could adapt to different situations and it was very pleasing we did that for most of the game and limit Manchester United to very little chances."
Next up for Swansea is the visit of Burnley to the Liberty Stadium on Saturday.