Di Maria was linked with a whole host of clubs including Arsenal and Tottenham Hotspur before the transfer window closed this week, primarily due to Real completing a protracted world-record deal for Gareth Bale.
The Argentine international believes that Ancelotti will give him plenty of first-team opportunities this season despite Bale's arrival, insisting that he is settled and happy with life in the Spanish capital.
He told FOX Sports Radio: "Yes, I'll just stay at Real. It's beautiful, isn't it?
"I feel at home and so do my family, so I look forward to the future here in a positive way."
The 25-year-old has featured in all four of Real's league games so far this season, taking his appearance tally with the Spanish giants to 140 since signing from Benfica in 2010.