That's according to Lorient president Loic Fery.
Fery told Canal+ Sport: "He told me last week in London that he wanted to finish his career at Lorient."
Koscielny has been a major player for Arsenal over the past couple of seasons in what has been a rocky period for the club.
The defender has been with the Gunners since 2010 and has become one of the first names on Arsene Wenger's teamsheet due to his displays at the back.
The day Koscielny departs will be a sad one for the Gunners faithful - although Fery does not think it will happen any time soon.
He added: "I hope he has a few more years playing at Arsenal."