Kookoo - a thick cut omelette
Esfenaj - pan fried sinach and chick peas with garlic and lemon
Lavash - ground lamb wrapped in thin Persian bread
Koobideh Kebab - lamb with paprika, cinnamon, corainder and parsely
Khoresh Baareh - slow cooked lamb with dried limes, cinnamon, rose petals and apples
Khoresh Murgh - mild spiced chicken stew
Battata Harra - spicy fried potatoes
Didn't find out which was Parthian or which were derived from the Medes, and Elamites, unfortunately.