The French striker has had an outstanding season in the Ligue 1 this season and currently sits comfortably on top of the goal scoring charts with 27 goals from 33 games.
Apart from the goals, he has also contributed five assists and these performances have attracted the interest of top clubs all across Europe.
Lacazette's goals have guided Lyon back into the Champions League after they missed out last season, but the striker is, according to Le10 Sport, disappointed with the club for not matching his salary with some of his other teammates. This has prompted him to postpone contract talks until after the end of the season.
"We still do not know if I will be at Lyon next season. This is a question that will only be answered at the end of the season," Lacazette said, as quoted by Tutto Mercato Web.
This will come as a big boost to Chelsea, Arsenal and Liverpool among others as they are looking to add to their forward lineups ahead of next season.
However, Lyon president Jean Michel-Aulas has made it clear that the forward will not be sold. He is adamant that the club will keep him beyond the current season and has made it clear that even a bid over the £35m mark is not going to sway the club into selling their biggest star.
"I'm not sure that fans are asking the question. We are never sure of anything but everything to Alexandre Lacazette be with us next season and it is also his interest to stay so we will do whatever it takes to keep it. 50M €? (£36m) It will not be enough, Alexander has no price," Aulas said, as quoted by Le10 Sport.