At the final whistle, Zidane declared: "It was complicated but we played a great game from start to finish, I'm happy, it's a victory for all of us, we played four in the middle against three of them.
"Isco had a great game, he favored us in possession."
Real defender Nacho also spoke to reporters on the touchline: "We are very happy but we still have a battle to win, we went out to win the game from the first minute and we are rightful winners."
PSG coach Unai Emery, meanwhile, hit out at the match officiating.
"Madrid had moments in transitions, we did not deserve this result, if the referee had been a balanced judge, we could have tied or even won," he snapped.