Kouiroukidis was born on December 22, 1931. He hailed from Drama, eastern Macedonia, Greece and began his career with Doxa Drama. In 1952, he joined PAOK after having sat out the previous season since Doxa would not consent to the transfer.
Kouiroukidis was capped 6 times in his career by the National Football Team of Greece. He scored one goal in the national colours, against Egypt, in a November 7, 1954 1-1 draw for the Mediterranean Cup.