In a mixing bowl, combine ground chicken, feta cheese, garlic, parsley, oregano, salt, pepper, and olive oil.
Form the mixture into patties, about 1/2 inch thick.
Preheat a grill or skillet over medium-high heat and lightly oil the surface.
Cook the patties for about 5-6 minutes per side, or until fully cooked through and browned.
While cooking, prepare your burger buns and toppings.
Assemble the burgers by placing patties on buns and adding toppings of choice.
Serve immediately, enjoying the Mediterranean flavors.