Having warmed the bench on six previous occasions, the 23-year-old was a 63rd minute substitute, taking the place of Sebastian Rudy in the keenly contested fixture at Stadion im Borussia-Park.
First half goals from Thorgan Hazard and Matthias Ginter ensured a losing first topflight appearance for the centre-forward, whose side's consolation came from the boot of Arturo Vidal on 74 minutes.
Wriedt's league debut comes a month after his first team bow in a DFB Pokal encounter with RB Leipzig.
The lanky striker, who joined Bayern on a three-year deal from third tier side VfL Osnabruck in August, became only the second African player in history to play for the Bavarians after compatriot Sammy Kuffour (1993-2005).
Despite once linking up with Ghana's under-20 side, the frontman is still eligible to represent Germany, at senior level.