Ignacy’s name day is January 29, the feast of Ignatios the God-Bearer.
Churches that follow the Old (Julian) Calendar keep the same feast on February 11 of the civil calendar. See everything commemorated on January 29.
The saint behind the name

Ignatios the God-Bearer
January 29, Hierarch, Ιγνάτιος
St. Ignatios the God-Bearer was Bishop of Antioch and one of the apostolic fathers, a disciple of the apostles themselves. Condemned under the Emperor Trajan at the beginning of the second century, he was taken in bonds to Rome and given to the wild beasts in the arena, going to his death with joy, longing, as he wrote, to be ground as the wheat of God.
Also celebrating on January 29
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.