The French international moved to Turin last summer after running down his contract at Manchester United.
"Juventus? I've liked them ever since I was a kid, always supported them," he told Sky Sport Italia. "This club means so much to the French. The best French players have played here and that is why I liked it.
"Were there other clubs chasing me? Yes, but I had my mind only on Juventus.
"At the time I heard of interest from Arsenal and Chelsea, and in Italy AC Milan, but there is no-one like Juve. I'm glad to be here. I want to win as many trophies as I can in this shirt."
The 20-year-old enjoyed a stellar opening season in Serie A, which earned him a first international cap in March.