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The Gabon international appears surplus to requirements at the Emirates Stadium, having recently been stripped of the captaincy for repeated disciplinary breaches.
Left out of squads by Mikel Arteta, Aubameyang has not played for the Gunners since the 2-1 defeat to Everton on 6 December.
He had gone to Cameroon for the Africa Cup Of Nations but was recently sent home so Arsenal could conduct an "in-depth examination" after Gabon found he had "cardiac lesions".
According to The Telegraph, Al-Nassr have proposed an initial loan deal that includes a £6.5 million obligation to buy.
The Gunners are still considering the offer but it's believed the club are very much open to selling the former Borussia Dortmund striker.
Aubameyang has had a tumultuous time of late after contracting coronavirus and Arteta clarified the situation in his pre-Liverpool press conference.
He told reporters: "He is going through some examinations. We have not had any clarity from the Gabon national team about the reasons why he came back, so obviously it is our obligation to make sure that medically the player is safe, is in good condition and there are not any issues related to that - and to try to avoid any suggestion that is the case because so far, historically, everything we have done with the player, he has never had an issue. Hopefully that is the case.”
Arsenal paid a reported £56 million for Aubameyang and he signed a new three-year, £250,000-a-week contract in September 2020.
The 32-year-old has scored 92 goals in 163 appearances in all competitions.