The surgery was performed by head team physician Dr. Michael Terry and Dr. Bradley Merk at Northwestern Memorial Hospital.
"The procedure went very well," Terry said in a statement released by the Blackhawks.
Rozsival, 36, suffered the injury when he landed awkwardly on his ankle Thursday during the second period of a 4-3, series-clinching Game 4 victory against the Minnesota Wild at Xcel Energy Center.
Rozsival had one assist in 10 playoff games after recording 13 points in the regular season.
David Rundblad - who has never played in a postseason game - is expected to take Rozsival's place in the lineup in the Western Conference Final against the Anaheim Ducks.