There had been serious concern over Rosicky, who was unable to come back out for the second-half of the crucial 2-1 win over Greece on Tuesday because of a sore Achilles tendon.
Chelsea keeper Cech took over the captaincy in Rosicky's absence out but then finished the game with a sore left shoulder.
But scans have shown no damage to either, said chief team doctor Petr Krejci.
He told idnes.cz: "We could see them both play (against Poland on Saturday) in the end. There's a big chance."
Krejci said Rosicky's scan showed no damage to either the tendon or the tissue.
As regards Cech, Krejci added: "The scan didn't show an injury to the joint, the bones or tissue."
In their last Group A game on Saturday night, the Czechs need a win against Poland to guarantee progression to the quarter-finals.
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