01 - Preheat oven to 400°F. Lightly grease or line a 9x13-inch baking dish.
02 - In a small mixing bowl, whisk together balsamic vinegar, honey, Dijon mustard, minced garlic, olive oil, salt, and pepper until well combined.
03 - Place chicken breasts in the prepared baking dish. Pour the balsamic mixture over the chicken, turning each breast to coat evenly. Allow to rest for 10 minutes for enhanced flavor absorption.
04 - Bake for 20–25 minutes, basting once with pan juices halfway through, until the chicken reaches an internal temperature of 165°F.
05 - Remove the dish from the oven and scatter crumbled goat cheese over each chicken breast. Return to the oven for 2–3 minutes, just until the cheese begins to soften.
06 - Transfer chicken to serving plates, spoon pan sauce over each portion, and sprinkle generously with chopped fresh basil. Finish with an extra drizzle of balsamic glaze and cracked pepper if desired. Serve immediately.