The midfielder, who has been compared to Paris Saint-Germain star Marco Verratti, has been watched by the Citizens on a number of occasions
Manchester City are keeping tabs on highly-rated Lens starlet N'Sana Simon, Goal understands.
Griezmann's brother excited Man Utd fans
Simon, 16, is yet to sign a professional contract with Lens but he has impressed as the French outfit's Under-17s captain.
And Goal understand City have watched Simon on several occasions, though they face competition from Everton as well as a number of Spanish clubs for his signature.