01 - Preheat oven to 400°F. Position the rack in the center of the oven.
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 - 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 20–25 minutes, basting once with pan juices halfway through, until the chicken reaches an internal temperature of 165°F and is cooked through.
05 - Remove the dish from the oven and scatter the crumbled goat cheese evenly over the hot chicken. Return to the oven for 2–3 minutes, just until the cheese begins to soften and melt.
06 - Transfer the chicken to serving plates. Spoon pan sauce over each portion, sprinkle generously with chopped basil, and finish with an extra drizzle of balsamic glaze and cracked pepper if desired. Serve immediately.