Los Blancos defeated Liverpool 1-0 in Saturday's final in Paris, with Vinicius Junior scoring the only goal of the game in the 59th minute.
Camavinga was introduced for Luka Modric with five minutes remaining, getting a taste of the victory as Real Madrid closed out the win.
In his maiden season in Spain, the 19-year-old midfielder has played an impressive supporting cast to the experienced Modric, Toni Kroos and Casemiro.
Having already won the Spanish La Liga, Camavinga can also call himself an European champion, fulfilling a childhood dream.
"It's a crazy thing, it's a childhood dream come true. Touching the cup, experiencing matches like that, it's crazy... That's why I came here," Camavinga told Canal+.
"From the moment we come here, we know that we are in the best club in the world, we only play big matches. I am very happy to have played in the final and to have won it."
"Some have five Champions Leagues here, but I already have one, I still have four left [to win]. We're going to enjoy it. Next year, we'll see."
"It's been an incredible season, an extraordinary accomplishment, very positive," he added in comments reported by Marca.
"I've learned a lot in this first year from the players here, from my coaches too, so I think I'm a better player than I was a year ago.
"The first thing to remember is this victory, the work of the team and [only] after that, whether I've played more or less is important."
Camavinga made 40 appearances across all competitions for Real Madrid after joining from Rennes at the start of the season.