Aubameyang has been a controversial figure at Dortmund over the past two or three seasons with a series of disciplinary issues raising valid questions about his temperament.
Despite his goalscoring form, Aubameyang's behaviour off the pitch has seen him fall out of favour with his manager, teammates, coaching staff and the club's supporters.
Aubameyang has drawn the ire of Dortmund's fans over the last few weeks, having been banished from the first team for "unprofessional" conduct as he seeks to secure a move away from Signal Iduna Park.
"It's fair to say they're bringing in a problematic type player", he told BBC 5 Live.
"I think if something happens, it happens".
The Elsewhere TheSun report that Giroud's move in the opposite direction will hold the key to the Gunners' completion of a deal for Aubameyang - with the club unwilling to let him leave without first signing a replacement.
Aubameyang was in action for Borussia Dortmund on Saturday but failed to score and was widely booed by supporters.
"Anything can happen in the next few days", a source close to Giroud explained to Goal.
Arsenal have made a second offer since, but one that is only marginally bigger than their original bid that is still someway short of the €70m Dortmund are demanding this month. "And that makes for a lot of consequences".