The Gabon international is available following the breakdown of his relationship with the German club.
Aubameyang has netted 17 goals in 19 games this season but his campaign has been peppered with controversy and Dortmund have had enough.
Chelsea are among a number of side to have been made aware that he is on the market with just over a month to go before the transfer window reopens.
Boss Antonio Conte is looking to increase his options up front as his Premier League champions trail in the wake of current leaders Manchester City.
First-choice Alvaro Morata has eight top-flight goals this season but has admitted he is struggling with the demands of playing three games a week while back-up Michy Batshuayi out injured.
And Morata himself suffered a hamstring injury last month.
Aubameyang was sent off in Dortmund’s astonishing 4-4 draw with Schalke at the weekend.
His side had been 4-0 up at the time of his 55th-minute dismissal, with Aubameyang on the scoresheet.
Following his exit, Schalke scored four times in the final half-hour to snatch a point.
He is also alleged to have angered his club by taking part in an unauthorised video shoot.
A year ago, he was suspended for a Champions League game against Sporting Lisbon after jetting off to Milan against the wishes of then-coach Thomas Tuchel.
Earlier this year, Aubameyang is said to have been given club permission to make a trip to Barcelona, but still returned late from it.
A Freelance Journalist, Entrepreneur and Philanthropist. Editor-in-Chief of www.233times.com. A contributory writer for Ghanaian Chronicle Newspaper. An alumnus of Adisadel College where he read General Arts. He holds first degree in Bachelor of Arts from the University of Ghana; Political Science (major) and History (minor). He has also pursued MSc Corporate Social Responsibility (CSR) and Energy with Public Relations (PR) at the Robert Gordon University in the United Kingdom. His mentors are Rupert Murdoch, Warren Buffet, Sam Jonah, Kwaku Sakyi Addo and Piers Morganview all posts by: Nana Kwesi Coomson
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