The 45-year-old announced his departure in a surprise press conference at Real Madrid's training ground on Thursday morning.
"It might be a "until soon" as Madrid have given everything to me. I spoke with (Sergio) Ramos who respected my decision and wished me luck".
"It is the moment to make a change".
"If I was the manager here next season, it would have been tough for us to win trophies".
"I think it is time for everyone".
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"We always want more from the players, and a moment comes when I can not ask them for more".
"I love this club and the president who gave me the chance to play for this club and manage the club of my dreams".
"This is my decision", he continued, having admitted he had previously planned to sign a new contract. "I had to do this for everyone", he said. The announcement has led to a lot of speculation about the coach's future, given his alleged renewal has not been made official. There were tough moments during the season and although I was sometimes whistled at, I want to thank the fans.
"He's an example for everyone, I hope that this doesn't serve as a farewell, I want him to return someday".
"I am doing this for the good of this team, for this club".
Zidane claimed an unprecedented third consecutive Champions League title when Real Madrid beat Liverpool 3-1 on Saturday, capping a remarkable period in his first job in senior club management.