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 black pepper until smooth and well combined.
03 - Place the chicken breasts in the prepared baking dish and pour the marinade over them, turning each breast to coat evenly. Allow to rest for 10 minutes for enhanced flavor penetration.
04 - Bake for 20 to 25 minutes, or until the internal temperature reaches 165°F. Baste the chicken once with pan juices halfway through the cooking time to keep it moist.
05 - Remove the dish from the oven and scatter the crumbled goat cheese over the hot chicken breasts. Return to the oven for 2 to 3 minutes, just until the cheese begins to soften and melt.
06 - Transfer each chicken breast to a serving plate. Spoon pan sauce over the top and sprinkle generously with chopped fresh basil. Finish with an extra drizzle of balsamic glaze and a crack of black pepper if desired. Serve immediately.