In a large bowl, combine the lamb, feta, mint. Salt and pepper to taste. Divide the mixture evenly into four balls. Form each ball into a patty no more than 3/4 inch thick.
Over medium heat, heat enough of the oil in a large nonstick skillet to just coat the bottom.
Cook the burgers in the heated skillet for about 10 minutes. Turn the burgers over and continue to cook until they are cooked all the way through, about 10 more minutes.