Atletico won 2-0 at the Nou Camp after Julian Alvarez and Alexander Sorloth scored following Pau Cubarsi's dismissal for a foul on Giuliano Simeone.
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"We didn't play our best game with the ball. There are things to improve, to learn and we leave happy with the victory, but there is a lot left," Griezmann told Movistar.
"At the Camp Nou, I had incredible moments. I enjoyed it a lot, it was a very nice experience."
Griezmann, significantly, added: "(Coach Diego) Simeone is a little hot with our game, let's see what he tells us.
"The semi-final is very far away, 90 minutes or more. Tranquility, confidence and feet on the ground."