In a large mixing bowl, whisk together the balsamic vinegar, honey, olive oil, minced garlic, oregano, salt, and black pepper until well combined.
Place the chicken breasts in the marinade, ensuring they are evenly coated. Cover the bowl with plastic wrap and marinate for at least 30 minutes or up to 2 hours in the refrigerator for best results.
Preheat your oven to 375°F (190°C).
Heat a skillet over medium-high heat. Remove the chicken from the marinade, reserving the marinade for later. Sear the chicken breasts in the skillet for about 3-4 minutes on each side until golden brown.
Transfer the seared chicken breasts to a baking dish. Pour the reserved marinade over the chicken.
Bake in the preheated oven for 20 minutes, or until the internal temperature of the chicken reaches 165°F (75°C).
Remove from the oven and let the chicken rest for 5 minutes before slicing.
Garnish with fresh basil leaves before serving. Enjoy!