Since joining from Eredivisie rivals Feyenoord in 2011, the 22-year old has been handed the captain's armband and has recently earned a recall to the Holland squad.
A move to Arsenal had been suggested in light of their unsuccessful bid for Newcastle United midfielder Yohan Cabaye, but Wijnaldum insists he will remain in Holland.
"At the end of last season I promised in a meeting with the coach and technical director, Marcel Brands, that I would stay," he said following his side's 1-1 draw with AC Milan.
"This has nothing to do with the fact that I'm now captain. The point is that I have given my word.
"Clubs being interested in me is a sign that I'm doing well, but I'm happy with PSV."