The 63-year-old signed a three-year contract with Los Blancos earlier this summer.
It comes 13 years after his first stint with the club where he won La Liga, the Copa Del Rey and Supercopa.
Speaking with Real Madrid TV, the Portuguese manager said: "Words are not enough because this feels like a mission. It’s not about worrying about myself or whether I’ll win a lot or a little.
"I’m here to help everyone become better: players, staff… Creating a culture of work, responsibility, ambition, and something I know well—responsibility and the honor of working for Real Madrid."
Mourinho also revealed that he's been working with Real's front office for quite some time, as preperations get underway for next season.
The Special One continued: “We are working a lot. It’s not like I arrived here today and everything starts now. We’ve been working hard for a long time with the club’s structure at different levels.
"Today, you can work without being physically present because technology helps us a lot, and today has basically been about arriving and ’checking’ everything that has been done and what we still need to do."
Mourinho left Benfica for the Real Madrid job where he managed 45 matches in Portugal after joining the club in September 2025.