Mourinho won the Treble in 2010 before walking away for a new challenge in Spain.
"Italy is the nation of tactics, so it was an experience I wanted to have," The Special One told RMC Sport in France.
"I arrived at Inter, which is more than just a club. It is a family, the like of which I have never found in football.
"Inter is an incredible family and that is the Moratti family. There was an extraordinary group and I had two fantastic years on a personal level.
"We won the Treble and I had the feeling I'd given them something the family was waiting for. It was a dream for President Massimo Moratti. For me, being in charge of the squad that had given him this dream was absolutely fantastic.
"Inter is still my home. When I left, everyone was crying."