Coutinho scored a hat trick and set up two more goals to help Bayern end its two-game losing run in the Bundesliga with a 6-1 rout of Werder Bremen on Saturday.
“That was his game,” said fellow goal-scorer Robert Lewandowski, who grabbed two.
Substitute Thomas Müller scored the other goal as Bayern bounced back from successive 2-1 defeats to Borussia Mönchengladbach and Bayer Leverkusen.
Bremen’s visit came just at the right time for the seven-time defending champion. Bremen had lost its previous 20 competitive games against Bayern, 17 in the league and three in the German Cup.