01 - Preheat oven to 400°F. Prepare a baking dish by lightly greasing or lining it.
02 - In a small mixing bowl, whisk together the balsamic vinegar, honey, Dijon mustard, minced garlic, olive oil, salt, and freshly ground black pepper until well combined.
03 - Place the chicken breasts in the prepared baking dish and pour the marinade over them, turning each breast to coat evenly. Allow to rest for 10 minutes for enhanced flavor absorption.
04 - Bake for 20 to 25 minutes, or until the chicken reaches an internal temperature of 165°F. Baste once with the pan juices halfway through the cooking time to keep the meat moist.
05 - Remove the dish from the oven and scatter crumbled goat cheese evenly over the hot chicken breasts. Return to the oven for 2 to 3 minutes, just until the cheese begins to soften.
06 - Transfer each chicken breast to a serving plate, spoon the pan sauce over the top, and sprinkle generously with chopped fresh basil. Finish with an extra drizzle of balsamic glaze and a crack of black pepper if desired. Serve immediately.