01 - Preheat oven to 400°F. Lightly grease or line a baking dish.
02 - In a small mixing bowl, whisk together the balsamic vinegar, honey, Dijon mustard, minced garlic, olive oil, salt, and pepper until well combined.
03 - Place the chicken breasts in the prepared baking dish. Pour the marinade over the chicken, turning each breast to coat evenly. Allow to sit for 10 minutes for enhanced flavor penetration.
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 cooking.
05 - Remove the dish from the oven and scatter the crumbled goat cheese evenly over the hot chicken. Return to the oven for 2 to 3 minutes, just until the cheese begins to soften.
06 - Transfer the chicken to serving plates. Spoon the pan sauce generously over each portion.
07 - Sprinkle chopped fresh basil over each plate. Drizzle with additional balsamic glaze and finish with cracked black pepper. Serve immediately.