The 27-year-old has not decided yet if he is staying at Atletico Madrid or leaving the Spanish club.
Arsenal are interested in signing the defensive midfielder from Atletico in the summer transfer window.
The report claimed that the Ghana international has a release clause of £45 million in his contract.
Atletico are a massive club who challenge for the La Liga title and also compete in the Champions League on a regular basis.
While Arsenal are a global brand and are one of the biggest clubs in the world, the Gunners are unlikely to challenge for the Premier League title anytime soon and may not be in the Champions League next season.
It may not be easy for the Gunners to tempt Partey this summer, especially if they are unable to muster up the high wages that the player is likely to demand.