The 66-times capped prop has signed a two-year deal with the French team.
Euan recently announced his retirement from international rugby.
He played for Glasgow between 2003 and 2007 and returned at the start of the 2014/15 season on a one-year deal following spells at Northampton, Newcastle, Agen and Worcester.
The 34 year-old British & Irish Lion has worn the Glasgow Warriors shirt on 86 occasions, his most recent appearance being in the side’s 21-10 defeat to Ospreys in the penultimate round of regular league duties.
He is currently the most capped prop for his country surpassing Allan Jacobsen’s tally of 65 when he took to the field against Ireland at BT Murrayfield in March for his 66th appearance in a Scotland jersey.
Euan said: “It’s been an absolute pleasure to play for Glasgow Warriors this past season and over the years.
“Returning to the club and the city, after almost seven years away, it’s incredible to see how much the Warriors have developed both on and off the field.
"There’s a special culture that exists at Scotstoun and I’m honoured to have been a part of the title-winning squad this season.
“I would like to thank everyone at Glasgow Warriors who have helped with my development and career, and I wish them all the very best in the future."
Head coach Gregor Townsend commented: “Euan (Murray) has made a big impact at the club over his two spells here, and his vast experience has been a great addition to the squad this season.
"He has always played with commitment and continues to be one of the best props in the game in the contact area.
“As a Glasgow man he always pulls on the jersey with pride and that passion really shines through when he is representing the city and the fans.
“We wish him and his family all the best in France."