Team Logo. The Fort Lauderdale Red Sox were a team in the Florida State League. They were the High-A affiliate of the Boston Red Sox. In 1994 they moved and became the Sarasota Red Sox. Retrieved from "https://prosportsteams.fandom.com/wiki/Fort_Lauderdale_Red_Sox?oldid=8475" Categories: Former FSL Teams Teams in Florida Add category Cancel Save Community content is available under CC-BY-SA unless otherwise noted.