Atletico had a 2-0 advantage from the first leg but Ronaldo struck three times in Turin to dump Diego Simeone's side out of the Champions League.
Tuesday night's treble was the 52nd of Ronaldo's career and Griezmann praised the 34-year-old's impressive display for Juventus.
'Cristiano has made the difference to every team he's played in, he is a great player,' Griezmann told Movistar.
'In the first leg he did not have any chances, he had three today and scored three.
'We didn't play our game, we chose the wrong day to screw it up.
'Everyone is annoyed, I'm the first one, I feel guilty because I didn't make a difference like I did in the first leg. I didn't do that today.