The midfielder picked up the problem while on international duty with Chile and on Friday night revealed the diagnosis.
Pizarro has suffered “a lesion of the internal oblique muscle. The evolution of the lesion will be monitored after a week of therapy and rest.”
A lesion such as this could take a couple of months to heal completely, especially as Pizarro has struggled with muscular problems in the past.
He is already certain to miss Fiorentina’s tough Europa League play-off against Grasshoppers.
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