The Argentine winger became an important part of the Santiago Bernabeu side in 2010-11, and has put his improvement down to the mentoring of his Portuguese coach
The Argentina international had an impressive first season in the Spanish capital following a transfer from Benfica, and claims his coach has had a huge part to play in his form.
"Mourinho wants us to be aggressive with and without the ball, so I had to adjust my defence to do what he wants," the 23-year-old told Marca.
The former Rosario Central player worked well alongside Cristiano Ronaldo and Mesut Ozil in the Spanish outfit's attack in 2010-11, helping the capital city outfit to a Copa Del Rey triumph and a runners-up finish in the league.
"It's different from when I played for Benfica, and so my mentality has to be different. I knew if I wanted to play [at] Real Madrid I had to run and look for chances. Mourinho wants us to work on defence, so we have space to attack. I [will] try to keep improving," he concluded.
Di Maria will look to play a part in a victory against Real Zaragoza on Sunday in the first La Liga game of the new season.