Tuncay Sanli then scored what proved to be the Turks winner on 70 minutes.
Kirovski played for an hour of the game in St. Etienne before being replaced by Clint Mathis.
The USA's next game is against Group B favourites Brazil on Saturday night.
Turkey: Omer Catkic; Fatih Sonkaya, Alpay Ozalan, Bulent Korkmaz, Ibrahim Uzulmez, Ahmet Yildirim (Ergun Penbe 42); Gokdeniz Karadeniz, Volkan Arslan, Selcuk Sahin; Tuncay Sanli (Ibrahim Toraman 84), Okan Yilmaz (Huseyin Kartal 90) United States: Tim Howard; Gregg Berhalter (Taylor Twellman 82), Danny Califf, Frankie Hejduk, Greg Vanney; Chris Armas, DaMarcus Beasley, Bobby Convey, Eddie Lewis (Earnie Stewart 75); Landon Donovan, Jovan Kirovski (Clint Mathis 60).