The midfielder played on the with injury, completing 90 minutes as Germany got their World Cup campaign off to a winning start.
But the 27-year-old, who returned to full fitness after suffering a pulmonary embolism in July 2018, has been ruled out of the former World Champions' remaining two group games.
"We'll try to get her back, but I cannot give a precise prognosis," said head coach Martina Voss-Tecklenburg. "You cannot replace her because she has special qualities and abilities."
Marozsan scored the opening goal in Lyon's fourth consecutive UEFA Champions League win, where they beat Barcelona 4-1 in Hungary.
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