Preheat your oven to 400°F (200°C).
In a medium bowl, whisk together the balsamic vinegar, honey, olive oil, minced garlic, oregano, salt, and black pepper until well combined.
Place the chicken breasts in a baking dish and pour the balsamic mixture over them, ensuring they are well coated.
Bake in the preheated oven for 25-30 minutes, or until the chicken reaches an internal temperature of 165°F (75°C) and is cooked through.
For extra glaze, broil the chicken for an additional 2-3 minutes at the end of baking. Keep a close eye to prevent burning.
Remove from the oven and let the chicken rest for 5 minutes before slicing. Garnish with fresh basil leaves if desired.