Phanourios’s name day is August 27, the feast of Phanourios.
Churches that follow the Old (Julian) Calendar keep the same feast on September 9 of the civil calendar. See everything commemorated on August 27.
The saint behind the name

Phanourios
August 27, Martyr, Φανούριος
St. Phanourios is a Great Martyr whose icon was discovered on the island of Rhodes in the fourteenth century, showing a young soldier surrounded by scenes of his sufferings for Christ. His name means the one who reveals, and nothing of his life is known beyond what the icon itself testifies: that he endured many tortures and gave his life rather than deny his Lord.
Name days: Fanourios, Phanourios, Fanouris, Fanis
Also celebrating on August 27
These names share the feast, many of them other forms of the same name:
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.