Team Logo. The Sarasota White Sox were a team in the Florida State League. They were the High-A affiliate of the Chicago White Sox. In 1994 they changed their name to the Sarasota Red Sox. Retrieved from "https://prosportsteams.fandom.com/wiki/Sarasota_White_Sox?oldid=8476" Categories: Former FSL Teams Teams in Florida Add category Cancel Save Community content is available under CC-BY-SA unless otherwise noted.