The striker has denied being contacted by the Ligue 1 champions and says he would prefer a move to England, Italy or Germany
The 23-year-old has shone in Ligue 1 this season, with his 19-goal haul beaten only by les Parisiens talisman Zlatan Ibrahimovic.
His efforts have helped les Verts into fourth spot ahead of their final game of the season against Lille on Sunday, but he has refuted any suggestion he has already agreed a move to PSG.
"PSG is a possibility but I have yet to receive a concrete offer. Everything will be resolved after discussions with my leaders," he told 10 Sport.
"After the Lille game I will have a week before joining up with Gabon - hopefully everything will be decided soon."
Aubameyang joined Saint-Etienne in 2011 on the back of an initial loan spell after failing to make an impact on the first team at AC Milan.
And the striker admits it would not be a disaster if he was to still be at the club at the start of pre-season, while stating his preferred league of choice.
"It would not be terrible if I was to carry on with Saint-Etienne and then be transferred later. Where would I go? Maybe Germany, England or Italy."
Paris Saint-Germain are likely to have plenty of competition for the player's signature, with Arsenal and Tottenham also reported to be keen on his services.