Griezmann was recently called into the France national team set-up for the first time and has attracted attention from across Europe.
According to the British Press, Wenger told French television that he is well aware of Griezmann, adding that he is far from the only interested party.
“Yes, we follow him in great detail,” Wenger told Telefoot.
“He attracts other clubs as well. But we follow him, he is a known commodity.”