He told Sky Germany: "I told the team today that I informed the club during the week after the game in Paris that I would like to terminate my contract at the end of the season.
"The future is absolutely not clear. There has been no discussions regarding that. Obviously the [German] FA is an option which every coach has to think about. But this is independent of that. I decided to take this step."
However, the club's board released a statement on Sunday expressing disappointment of Flick's decision to go public with his plea to leave.
"Yesterday [Saturday], FC Bayern head coach Hansi Flick made public his wish to terminate his contract, which runs until June 2023, at the end of the current season," the statement said.
"Hansi Flick had informed the FC Bayern Munchen AG executive board of this wish during the past week.
"Hansi Flick and FC Bayern had agreed to place the focus on the matches against VfL Wolfsburg, Bayer 04 Leverkusen [April 20] and 1. FSV Mainz 05 [April 24], in order not to disrupt the concentration of the whole club on these three important matches.
"FC Bayern disapproves of the unilateral communications issued by Hansi Flick and will continue talks after the match at Mainz, as agreed."
Flick has steered Bayern to six titles in the past 10 months, including the Champions League title last season.