Fla. Stat. § 79.03

When issued, the writ shall be served by the sheriff of the county in which the petitioner is alleged to be detained on the officer or other person against whom it is issued, or in his or her absence from the place where the prisoner is confined, on the person having the immediate custody of the prisoner. When the sheriff of the county is the person holding the party detained, a delivery to or receipt of the writ by the sheriff is sufficient service.