
Boey, who can also play on the left, arrives for a reported fee of €30 million.
“This is a dream come true for me. It’s an honour for me to get to play for such a big club like Bayern.
“I’m really looking forward to my new team and getting to play with all these great players in the future.
“As a player, I’m a defender who likes to attack, just as happy being involved up front as in defence.”
The 23-year-old Frenchman arrived in Munich from Turkey on Saturday and underwent a medical in the Bavarian capital.
Bayern manager Thomas Tuchel had been on the lookout for additional cover at rightback with Noussair Mazraoui on Afcon duty and recent injuries to Konrad Laimer, Joshua Kimmich and Dayot Upamecano.
The German giants had been linked with England defender Kieran Trippier, but ended their pursuit of the Newcastle rightback when the two clubs could not agree on a fee.
Boey’s signing means Bayern’s interest in Paris St-Germain’s Nordi Mukiele is likely over.
Boey came through the junior system at Ligue 1 side Rennes, before moving to Istanbul in the summer of 2021.
He won the title with Galatasaray last season and has continued to impress this campaign, becoming a crowd favourite at Rams Park.
Boey is Bayern’s second January arrival after England defender Eric Dier, who left Tottenham for €4 million.