The Brazilian was one of the top performers in the 2-1 win at San Siro last night and performed a crucial goalline clearance.
"Every time the fans ask us to be 11 lions on the field, but we did even more than that," Melo told Sky Italia television.
"Nobody believed in Juve, but we have proved that we are a great squad. This is the victory that can charge us up.
"I think that a new Juve has been born. We have a lot of work to do, but we're on the right track and can go all the way.
"Inter and Milan have something more, but we are on the right path."