And the Bundesliga club say interested teams have a "few more days” to approach them for Aubameyang.
Aubameyang, who scored 40 goals last season, is a transfer target for clubs in China, AC Milan and Chelsea.
Chelsea are looking at the Gabon international after missing out on their top target Romelu Lukaku to Manchester United.
Alvaro Morata has also been linked with a move to Stamford Bridge but Real Madrid's asking price for the Spanish striker has put off potential buyers.
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Chelsea fans are desperate for the club to sign Pierre-Emerick Aubameyang after they confirmed a deal for Tiemoue Bakayoko
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We will wait a few more days, but not for much longer than that
Borussia Dortmund chief executive Hans-Joachim Watzke
Aubameyang appears to be far more attainable and Dortmund seem open to selling him if an satisfactory bid is made.
But Watzke told German newspaper Welt am Sonntag Dortmund's patience is running out regarding interest in Aubameyang.
"We have not received any offers for the player," Watzke said.
Pierre-Emerick Aubameyang could leave Borussia Dortmund this summer
"We will wait a few more days, but not for much longer than that.
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"Personally, I'd be happy if Pierre were to remain.
"Obviously there are clubs in the world where Aubameyang could earn more than he does here."