01 - Preheat oven to 400°F.
02 - In a small mixing bowl, whisk together the balsamic vinegar, honey, Dijon mustard, minced garlic, olive oil, salt, and black pepper until well combined.
03 - Arrange the chicken breasts in a baking dish. Pour the marinade over the chicken, turning each piece to coat evenly. Allow to rest 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 pan juices halfway through cooking.
05 - Remove the dish from the oven and scatter crumbled goat cheese over the hot chicken. Return to the oven for 2 to 3 minutes, just until the cheese softens.
06 - Transfer the chicken to serving plates and spoon the pan sauce generously over each portion.
07 - Sprinkle chopped basil over each plate. Drizzle with additional balsamic glaze and finish with cracked black pepper if desired. Serve immediately.