The American midfielder completed a transfer from RB Leipzig on Wednesday and signed a five-year extension with his new club.
"Super excited," Adams told the club's website.
"You know, walking in for the first time, meeting people today at the training ground, coming to the stadium. It's empty now but I can't wait to play in front of a full crowd with the fans.
"[I know] A little bit - I've obviously watched the documentary which is quite popular and was able to learn a lot of important things about the clubs but one thing for me is the passion of the fans of city - you know, what it requires to be a Leeds United player.
"So far, what I've heard is that it's electric. Talking to my friends that have played in the Premier League, they say it's one of the best atmospheres they've ever played in. Now to have those fans supporting me, it's something special."