The England midfielder was left incensed when Zwayer pointed to the spot with 13 minutes remaining after the ball struck Mats Hummels' arm.
Robert Lewandowski converted the penalty, sealing a crucial 3-2 Bayern win in the process.
After the match, Bellingham blasted: "For me it wasn't a penalty.
"Hummels is not even looking at the ball and he's fighting to get it. It hits him, I don't think he's looking at the ball.
"You can look at a lot of the other decisions in the game.
"You give a referee that has, you know, match fixed before, the biggest game in Germany…
"What do you expect?"
Zwayer was handed a six-month ban by the German FA for his role in the 2005 match fixing scandal.
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