The striker finished last season as he joint-top scorer in the Premier League with 22 goals.
His contract is set to expire at the end of the 2020-21 season.
“Right now, he’s at Arsenal, and he’s won nothing here, so it’s a collective failing,” Pierre Alain Mounguengui told ESPN.
“I don’t want to say that Arsenal isn’t ambitious, but Arsenal doesn’t have ambitions as high as some other clubs as far as Europe is concerned.”
Last month, Arsenal manager Mikel Arteta said he wants to keep Aubameyang “under any circumstances” and the club needs to discuss a new deal before the end of the season.
“If Pierre could secure a contract with a more ambitious club, he’d definitely find his place there,” Mounguengui added.
“All Gabonese people see Aubameyang at this level, where he can now end his career at a major club and, above all, beyond individual trophies, to bring home a major competition.”