The 28-year-old had been linked with some of Europe's biggest clubs this summer, with the likes of AC Milan, Chelsea and Manchester City among those credited with an interest.
Aubameyang has admitted that he was in talks with the Bundesliga outfit regarding his future, but has reassured BVB fans by saying he will stay put at the Signal Iduna Park.
"It is true that I spoke to Borussia Dortmund before I went on vacation," the Gabon international told German newspaper Welt am Sonntag.
"But none of the clubs that wanted me could make it happen. So I'll stay here at Borussia Dortmund. I like staying here very much, as I feel at home in Dortmund."
Aubameyang, who still has three years remaining on his Dortmund contract, scored 31 goals in 32 Bundesliga games to win the division's Golden Boot award last season.