Griezmann has denied reports of agreeing to move to PSG in the summer.
Wenger admitted his desire to bring Griezmann to the Emirates Stadium earlier this month.
The Arsenal boss told Telefoot: "Yes, we follow him in great detail.
"That should not come as a surprise because he attracts other clubs as well.
"But we follow him, he is a known commodity."
For breaking stories and all the great banter like us on Facebook: facebook.com/tribalfootball