The France winger leaves Bayern for the Saudi Pro League's Al-Nassr in a €35m move.
Coman posted to social media: "It's hard to believe that almost ten years have already passed since I made Munich my home at the age of 19.
"In all this time, I have been fortunate to share unforgettable memories and successes with this incredible club: 9 Bundesliga titles, 6 Super Cups, 3 German Cups, a Club World Cup and, above all, my proudest moment: scoring the winning goal in the 2020 Champions League final in Lisbon.
"To the fans: Your support, through every triumph and every challenge, has meant the world to me. I will always carry your love, passion, and loyalty with me.
"I am deeply grateful to all the coaches, staff, teammates, and every member of the staff I have had the privilege of working with along this journey. This club will always be a part of me, and I wish Bayern only continued success in the seasons to come.
"From the bottom of my heart, thank you.
"King."