But he insists he was not intending to insult anyone.
Di Maria told the club's website: "I made a normal gesture when I was going off. I did not want to do anything aimed at the fans or the manger either like people were saying. It was a natural movement which all men make especially when you are running. You do it a lot on the pitch.
"The truth is that if anyone was offended by it I apologise, but it is like I have said. I made a natural movement which was not aimed at anyone in particular. On the TV you can see that it is a fraction of a second. It is nothing. I did not spend a long time deliberately doing it. It was something natural. I apologise to the people who may be offended by what I did, but it was not aimed at anyone."
Real Madrid has started an investigation to clear up what happened, something the Argentine thinks is a good idea.
"I think it is the right thing to do. Not just for them, who have started the investigation, but also for me as it means I can explain the situation and what happened, as I have also already explained to several Argentine radio stations. I think it is good as I can talk to them directly and explain what happened on the pitch."