Di Maria has failed to live up to his £59.7m price tag this term, with recent reports linking the 27-year-old winger with a move away after just one season at Old Trafford.
The Argentine is understood to be unsettled in England after an attempted burglary on his home in January, and Van Gaal insists he won't stand in his way should he request a transfer.
When asked if he would let Di Maria leave on compassionate grounds, Van Gaal said: "I am always like that. When you see my history, that's part of my philosophy.
GETTY
Angel Di Maria joined Manchester United in the summer for £59.7m
I shall always be open (to his sale)
Louis van Gaal
"A player is not just a man who kicks the ball from A to B.
"His environment is influencing him.
"I shall always be open (to his sale) but I know that the commercial interests of the club and we have to respect that.
"You cannot give a lot of money for a player and next season put him out of your selection."
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