Ancelotti was introduced to Madrid members and the press at the Santiago Bernabeu by Perez in a step aimed at healing the rifts caused by predecessor Jose Mourinho.
Speaking in Spanish, the 54-year-old Italian said he was "happy to be at the most prestigious club in the world."
Ancelotti received a three-year contract on Tuesday.
He said he was aware Madid was "a club that needs to win by playing spectacular football."
He added he was going to work to ensure the club would deliver the style of football that its fans anticipated.
"It's not easy work, it's not always easy for a coach to work," Ancelotti said.
However, he said he had visited the club's training ground and found it to be what he expected, it had "everything needed."
Former player Zinedine Zidane was at the introduction, although it was not immediately clear what his role would be.