Florian’s name day is May 4, the feast of Florian the Martyr.
Churches that follow the Old (Julian) Calendar keep the same feast on May 17 of the civil calendar. See everything commemorated on May 4.
The saint behind the name
Florian the Martyr
May 4, Martyr, Φλωριανός
Florian was an officer of the Roman army in the province of Noricum. During the persecution of Diocletian he openly declared himself a Christian when the governor sought out believers, and after scourging he was thrown into the river Enns with a stone tied to his neck, around the year 304.
Name days: Florian
What to say on a name day
The Greek wish is Χρόνια Πολλά (Chronia Polla), “many years.” A call or a short message on the day is what people remember. See name day wishes you can send and what a name day is.