Speaking to AS at Valdebebas, the Frenchman insisted "if you want to be part of the history of football, at some point you have to play for Real Madrid," reflecting on more than two years at the club and saying the reality had matched even his childhood expectations.
"Yes, totally. I expected the best club in the world, to receive a lot of excitement from Madridismo all over the world," he said. "I've found more peace of mind. In France I have less peace. I wanted to learn a new culture, adapt quickly to Spanish culture.
"I still have a little way to go, of course, but I think I'm getting better here every day. I've never had a moment of not feeling happy here â only at the start, when I didn't have a house.
"Once I had my home, I've always been happy in Madrid and in Spain."
On the role played by club president Florentino Pérez in eventually completing the move, Mbappé was unequivocal.
"He's the one who brought me here. We stayed in contact for ten years before I arrived. He always showed affection and understanding around every decision, good or bad for Real Madrid. He always told me I would play for Real Madrid one day, and here I am, and very happy too. He's the best president in the world," he said.
"If I'm honest, nothing and nobody needs to convince you to come to Real Madrid. There was never any doubt that I wanted to come, but sometimes when something isn't possible, you have to accept it."
Now playing under JosĂ© Mourinho after previously working with Carlo Ancelotti, Xabi Alonso and Ălvaro Arbeloa, MbappĂ© said the Portuguese was a coach apart.
"The four of them are important figures in the game... but it's true that with Mou it's something different. He's one of the most intelligent people I've ever seen. He's a leader," he said.
Asked whether Mourinho had set him a target of 50 goals, Mbappé said no such number had been mentioned.
"He hasn't given me a figure, he's told me to score goals. I never set myself limits or a goal target because you don't know what can happen in a season."
On individual honours, Mbappé said his Ballon d'Or motivation was rooted in what it would mean for supporters rather than personal glory.
"The most important thing for me is that the Ballon d'Or comes back to Real Madrid... it must return to the Bernabéu, to the Madridistas, to give them hope. Those people deserve it more than anyone in the world," he said.
Reflecting on France's World Cup exit to Spain, Mbappé was magnanimous.
"Whoever dominates wins, and right now the team that dominates is Spain, because they won and you have to accept that... right now they are the best," he said.
He closed with a message to supporters growing restless after two trophyless seasons.
"The message is demand. It's Real Madrid, I understand that... What I ask is that we go together, hand in hand. That way we'll be much stronger and we can compete for everything."