Arsenal manager Arsene Wenger will currently be preoccupied with managing his side's quest for silverware on three fronts heading towards the business end of the campaign, but a French wing wizard threatening to become a genuine superstar must surely be on his radar at a price tag of £25m.
Griezmann has already racked up 15 goals in 22 La Liga appearances this season, a feat made all the more astounding given his tentative 22 years and position with Real Sociedad, a Champions League contender this season admittedly but certainly not one of Spain's big three teams.
Wenger is blessed with attacking options in Griezmann's position on the left-hand side, but neither Santi Cazorla or Lukas Podolski possess the raw pace and potential for improvement that the wing wizard can offer.
Any Gunners fan who wants an example of what Griezmann could bring to the Premier League need look no further than Barcelona's clash with Sociedad last weekend, where the technically-gifted starlet demonstrated a vast array of skills to stun the reigning La Liga champions.
Raw pace was the order of the day in a clinical counter-attacking display, with Griezmann scoring once and playing an integral part in a 3-1 destruction of the Catalan giants at the Anoeta Stadium.
Arsenal's commitment to attack has seen them exposed in wide areas against top-level opposition this season, with the likes of Mesut Ozil and Cazorla found wanting in terms of providing effective cover when facing their goal in heavy defeats to Liverpool and Manchester City.
Wenger should take a plunge on Griezmann because he would provide an effective solution to that problem for two reasons.
First the 22-year-old has the pace and stamina to help either Kieran Gibbs and Nacho Monreal in defensive areas, while also offering the kind of direct option on the break that Theo Walcott has made a niche all of his own on the right-hand side.
Gunners fans will no doubt be clamouring for star additions when the transfer window reopens, thanks largely to a huge commercial triumph brought in by a £150m kit deal with Puma, which means the Griezmann deal would make perfect sense for all parties.
Arsenal would land a player in the Wenger mould in terms of technical excellence and room for growth, while Sociedad would fetch a fair price for one of Europe's best young forward-thinking talents whilst not selling to a direct La Liga rival.
Wenger has offered Podolski just four Premier League starts all season, while Cazorla likes to drift in from the left-flank but doesn't possess the raw pace of a true winger at the top level, despite being astoundingly comfortable in possession.
Paris Saint-Germain have been consistently linked with a move to bring Griezmann back to France, but at £25m the Gunners could definitely afford to hijack that move and should move quickly to land a different option who would improve their squad without question for next season.