In a small bowl, whisk together the balsamic vinegar, honey, olive oil, and minced garlic.

Place the chicken breasts in a large resealable plastic bag or shallow dish. Pour the marinade over the chicken, ensuring each piece is well-coated.

Seal the bag or cover the dish and refrigerate for at least 30 minutes to marinate. For best results, marinate for up to 2 hours.

Preheat your oven to 400°F (200°C). Line a baking sheet with parchment paper.

Remove the chicken from the marinade, allowing any excess to drip off. Place the chicken on the prepared baking sheet.

Bake in the preheated oven for 25-30 minutes, or until the chicken is cooked through and reaches an internal temperature of 165°F (75°C).

While the chicken is baking, pour the remaining marinade into a small saucepan. Bring it to a boil over medium heat, then reduce the heat and simmer for about 5 minutes, or until the sauce thickens.

When the chicken is done baking, remove it from the oven and let it rest for a few minutes before slicing.

Drizzle the thickened balsamic glaze over the chicken before serving.