Zidane says Los Blancos deserved to beat the Blaugrana in a torrential rain at the Estadio Alfredo Di Stefano.
The hosts were off to a dream start when Karim Benzema gave Zidane’s men the lead with a sumptuous effort inside the opening 13 minutes.
Germany midfielder Toni Kroos extended Real Madrid’s advantage with a free-kick on the 28th minute mark.
The Madrid-based team could have been home and dry before the break but passed up glorious chances to get the third goal.
Barcelona halved their deficit on 60 minutes when Oscar Mingueza tapped home a cross from Jordi Alba.
Despite the end-to-end affair in the dying embers, both team failed to find the back of the net as Real Madrid secured a crucial victory to temporarily go top of the La Liga table.
Speaking to the media after the game, Zidane admitted he is happy with his side’s performance but reveals he is already thinking about his side’s next clash.
"It leaves me feeling very good. We started very well. A deserved victory, we had many chances to score the third goal."
"I am happy for the players. We have had many changes, Mariano, Odriozola, Isco, Marcelo ... They are all committed, they all want to play. It is the good thing about this team."
"Nothing changes. There is a long way to go. We have to rest for today. It has been two hard-fought games. Now we have to rest. I don't know how we are going to end the season, we are physically at the limit."