The winger, who helped his country to third place at World Cup 2014, is happy at Bayern Munich, however, and has no intention of joining his departing national boss at Old Trafford this summer.
Asked by NOS if he could join United this summer, Robben replied: "No - that's what I told Van Gaal. I am happy at Bayern but he's said there is always room for me [at United].
"Van Gaal is the best coach I've had. We've got a very special relationship.
"After the match he did ask me to come to Manchester," the forward added with a laugh, "but I will not make a transfer. I'm at the right place at Bayern so that has nothing to do with Van Gaal or United."
Robben played a key role for Netherlands under Van Gaal as they exceeded expectations in Brazil, scoring three goals and making one assist as he played his way onto the shortlist for Fifa's Golden Ball.
Since leaving Chelsea in 2007, the winger has had success at both Real Madrid and Bayern, winning the Champions League with the German club in 2013.