Manzambi is said to have injured himself in the last training session before the match during a small-sided game, with no contact from a teammate. The 21-year-old was then taken to hospital, where an MRI scan was performed, writes Blick.
During the tournament, Manzambi has been one of Switzerland's most important players, with three goals and two assists in four matches.
Players Djibril Sow and Ruben Vargas also had to stop training early and look set to miss the round of 16.
"It would be a big loss if they can't play tomorrow," said Switzerland national team captain Murat Yakin at the press conference before the match.
Michel Aebischer and Luca Jaquez have already been on the injury list.
Switzerland meets Colombia at 10:00 p.m. Swedish time.
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