Orman was asked why Dortmund allowed 19-year-old youth product Aydogan leave at the signing ceremony of Adriano.
The Besiktas president used the Pogba – United transfer saga as an example that even the biggest clubs can make mistakes in the transfer market.
“Manchester United had to pay €120 million to get Pogba back, he was a United player but they let him go and we are all witness to how much they have to pay to get him back,” Orman was quoted as saying by Turkish-football.com.
“What we have done is like what happened to Manchester United.”
Pogba refused to sign a contract extension in 2012 and left the Red Devils to join Juventus.
The powerful midfielder has since gone on to win four Serie A titles with Juventus as well as reach the Champions League final last season.
Pogba is now set to return to United for a world record transfer fee expected to fetch €120 million.
Aydogan joined Besiktas on a £170k move from Dortmund and has represented Germany at youth international level.
The 19-year-old is however, eligible to play for Turkey at senior intentional level due to being an ethnic Turk. Aydogan will be able to play under a domestic status in Turkey this season.