Griezmann shapes as a huge threat to Madrid ahead of the Champions League semi-final first leg between the teams at the Santiago Bernabeu on Tuesday.
The France international is considered one of the world's best players, albeit behind Cristiano Ronaldo and Lionel Messi.
Asked what Griezmann needed to do to reach Ronaldo's level, Carvajal said both deserved praise.
"They are two different players, two world superstars," he said.
"Griezmann is a brilliant player. I really hope he has a career full of successes.
"I wish him the best, apart from in this tie."
Griezmann has scored 25 goals in all competitions this season, leading to reported interest from the likes of Manchester United.