Mbappe, 19, made no secret in the past that he idolises five-time Ballon d'Or winner Ronaldo and his meteoric rise has as a teenage World Cup winner suggests he may enjoy a similar trophy-laden path.
The PSG forward was named the Golden Boy as France won the World Cup in July and has scored 10 goals in seven appearances for Paris Saint-Germain in all competitions this season, including four in the 5-0 victory against Lyon.
And Griezmann believes his current displays is reminiscent to a young Cristiano Ronaldo - while stating his belief the teenager will enjoy a similar career trajectory.
"Kylian reminds me of Cristiano when he was in Manchester," Griezmann told France Football.
"Cristiano was the guy out wide, doing a lot of dribbling and occasionally scoring. He was not looking for goals, though.
"When Kylian does what Cristiano did in Madrid, thinking only about scoring, then he will do the same. He will be scoring 50 goals per season.
"In front of goal in training, Kylian is not all that," Griezmann added. "I tease him often -- I ask him how he manages to score so many goals.
"When we do finishing drills, he never wins. As soon as he changes that, though, he will be a force to be reckoned with."