In a mixing bowl, whisk together the balsamic vinegar, olive oil, honey, minced garlic, dried oregano, salt, and black pepper until well combined.
Place the chicken breasts into a resealable plastic bag or a shallow dish. Pour the marinade over the chicken and seal the bag or cover the dish. Marinate in the refrigerator for at least 30 minutes or up to 2 hours for maximum flavor.
Preheat your grill or grill pan over medium heat. Remove the chicken from the marinade, discarding the leftover marinade.
Place the chicken on the grill. Cook for 5-7 minutes on each side, or until the internal temperature reaches 165°F (75°C) and the chicken is no longer pink in the center.
Once cooked, remove the chicken from the grill and let it rest for 5 minutes before slicing.
Serve the chicken garnished with fresh basil, if desired.
For added flavor, consider marinating the chicken overnight.
This dish pairs well with a fresh salad, roasted vegetables, or quinoa.
Adjust the sweetness by increasing or decreasing the honey according to taste.