After scoring in last night's Champions League round 16 first-leg win against Tottenham, Griezmann shut down talk of leaving for Orlando City this month.
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Griezmann said, "I'm very happy here. I'm enjoying it a lot.
"What I do on the field speaks for itself. The idea is to go all the way. That's my dream, my goal, and hopefully we can achieve something great."
On the 5-2 win, he added: "We wanted to put on a lot of pressure, a high tempo from the start, and that's what we did. The mistakes also came from our own pressure, and we're very happy about that."