The Chilean forward has been linked with a Gunners exit as talks over a new contract at Emirates Stadium continue to stall.
Arsene Wenger suggested on Friday that Alexis has assured him he wants to stay put, although the 28-year-old showed signs of anger and frustration at his current situation during the 3-3 draw with Bournemouth.
And Don Balon reports that should Griezmann leave Vicente Calderon, with United having been mooted as a likely destination for the Frenchman, Atleti will spend the cash on Alexis.