Preheat your oven to 400 degrees Fahrenheit. Lightly grease a large baking dish with olive oil or non stick spray to ensure nothing sticks during the caramelization process. Pat the chicken breasts dry with paper towels so the seasoning adheres better.
In a small bowl, whisk together the olive oil, minced garlic, dried oregano, salt, and pepper. Rub this mixture evenly over both sides of the chicken breasts and place them in a single layer in the prepared baking dish.
In another bowl, whisk the honey and balsamic vinegar until smooth. Stir in the cranberries, ensuring they are well coated in the sweet mixture. The vinegar helps to balance the honey and brings out the natural brightness of the berries.
Pour the cranberry and honey mixture over the chicken breasts, spreading the berries around the meat so they roast evenly. Place the dish in the oven and bake for 25 to 30 minutes, or until the chicken reaches an internal temperature of 165 degrees Fahrenheit.
Remove the dish from the oven and immediately sprinkle the crumbled feta cheese over the hot chicken. The residual heat will soften the cheese slightly without melting it completely. Garnish with fresh rosemary sprigs for that classic Christmas aroma and appearance.
