01 - Preheat oven to 400°F. Lightly grease a baking dish or line with parchment paper.
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 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 pan juices halfway through cooking to keep the meat moist.
05 - Remove the dish from the oven and scatter the crumbled goat cheese evenly over the hot chicken breasts. Return to the oven for 2 to 3 minutes, just until the cheese softens and begins to melt.
06 - Transfer the chicken to serving plates. Spoon the pan sauce over each portion and sprinkle generously with chopped fresh basil. Finish with an extra drizzle of balsamic glaze and cracked black pepper if desired. Serve immediately.