The 25-year-old is desperate to convince his coach that he is worthy of a regular berth with the Blancos after scoring twice against the Danes
The Argentine was on target twice in the routing of Stale Solbakken's men in the Champions League on Wednesday, with Cristiano Ronaldo bagging the other two in the comfortable Santiago Bernabeu win.
The €100 million man was left out of the Blancos' squad for the European clash through injury, but Di Maria is hoping that his display will make Ancelotti think twice before dropping him in future team selections.
"I keep trying to convince the coach that I want to be in the starting XI," the 25-year-old told Canal Plus.
"I thought we played a great match. We changed the system to three up front and it worked well. The coach has told us that he is very happy."
Real Madrid extended their lead in Group B to four points, as second-placed Juventus - who Ancelotti's men face on October 23 - drew with Galatasaray in Turin.