01 - Preheat oven to 400°F. Position the rack in the center of the oven for even heat distribution.
02 - In a small mixing bowl, whisk together the balsamic vinegar, honey, Dijon mustard, minced garlic, olive oil, salt, and pepper until well combined and smooth.
03 - Arrange the chicken breasts in a baking dish and pour the balsamic glaze over them, turning each breast to coat evenly. Allow to rest for 10 minutes for the flavors to penetrate.
04 - Bake for 20–25 minutes, basting the chicken with pan juices halfway through, until the internal temperature reaches 165°F when measured at the thickest part.
05 - Remove the baking dish from the oven and scatter the crumbled goat cheese evenly over each chicken breast. Return to the oven for 2–3 minutes, just until the cheese begins to soften and warm through.
06 - Transfer the chicken to serving plates, spooning the pan sauce over each portion. Sprinkle generously with chopped fresh basil and finish with an extra drizzle of balsamic glaze and cracked pepper if desired. Serve immediately.