The French international was one of the stars of the season in Ligue 1 last term, and while his 27 goals in 33 outings was not enough to secure the French title for Les Gones.
However, the 24-year-old emerged from the campaign with enormous credit, following a series of scintillating offensive displays.
Paris Saint-Germain have also been linked to the hitman, with Laurent Blanc potentially considering Lacazette as a potential replacement for Edinson Cavani, who has been linked with a move to Manchester United [ESPN].
OL are aware of the interest, and are keen to keep hold of their man, but not at any price, as admitted by Lyon coach Hubert Fournier, speaking to Le 10 Sport.
“Of course, if someone proposes 50 or 60 millions, I have no doubt that we would have to offload him and wish him good luck,” the coach confirmed.
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However, according to Le Progres, again via Le 10 Sport, Lyon chief Jean-Michel Aulas is not so keen on selling one of his star talent, and the football administrator is looking to organise a meeting with the player in order to decide what his future holds.
With Lyon set to face AC Milan on Saturday, OL are hoping to make a decision on Lacazette’s transfer situation before the weekend’s fixture.