Arsenal opened preliminary talks for the Argentina international last week while Galatasaray are also thought to be monitoring his situation.
|5/1||Real Madrid are 5/1 with Coral to win the Champions League
The former Benfica man put in a man-of-the-match performance in Madrid’s 1-0 win away to Granada on Monday night, however, and says he has no intention of leaving the Spanish capital.
"I understand that the club is strengthening and they are precise in what they do," Di Maria told AS.
"But I signed up to 2018 just a year ago and my desire is to stay in the Bernabeu."
Di Maria joined Real Madrid from Benfica in June 2010 and has since made over 100 appearances for the club.