The 20-year-old is currently on loan at the German giants from Juventus, and Bayern Munich can make the deal permanent for €20m.
Coman revealed to 'Kicker' that he would like to stay at the Bundesliga champions.
"I would love to stay here," he said.
"It was one of my goals, when I arrived, to play here for a long time.
"I can see myself playing here for many years, even if you never know how things will go over the years.
"Bayern are one of the best clubs in the world and I want to play for many, many more years here".
It seems highly likely that Coman will stay at the Allianz arena beyond his loan spell, as Bayern Munich's chairman recently admitted that he wanted to activate the clause to purchase the Frenchman.