Los Blancos left it late, scoring twice in the last three minutes of normal time through Karim Benzema and Cristiano Ronaldo, to snatch three points from the jaws of defeat in a 3-2 triumph.
"It's good because the DNA of my team is back." explained Mourinho to ITV.
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"We could lose and I would be proud, but we cannot lose matches like we did in Sevilla and Getafe and my happiness is not just about the three points, it is about the DNA of my team being back."
After speaking negatively of his team's performances in La Liga, Mourinho was glad to announce that his players had shown their worth.
"They've proved to me that if they want, they can. If they want to be top professionals and if they want to respect Real Madrid's history, every match, not just against City or against Barcelona, every single match they can do it because last season they proved it.
"If I am the coach of a small team I can lose more times but as the coach of Real Madrid I can not accept that. I'm so happy with the players' attitudes, because it's a big victory against a big team. That's football and we deserve to win. If I feel we don't, I would feel a bit more for them but we produced a better match than them.
"We tried to win from the first minute and I think we deserved it."