01 - Preheat oven to 400°F.
02 - In a small mixing bowl, whisk together balsamic vinegar, honey, Dijon mustard, minced garlic, olive oil, salt, and black pepper until well combined.
03 - Arrange chicken breasts in a baking dish and pour the marinade over them, 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 from oven and scatter crumbled goat cheese over the hot chicken. Return to the oven for 2 to 3 minutes, just until the cheese softens and begins to melt.
06 - Transfer chicken to serving plates and spoon pan sauce generously over each portion. Sprinkle with chopped fresh basil.
07 - Finish with an extra drizzle of balsamic glaze and a crack of black pepper if desired. Serve immediately.