Start by seasoning the chicken breasts with salt and black pepper on both sides to enhance their natural flavors.
Heat the olive oil in a large skillet over medium heat. Once hot, add the seasoned chicken breasts and cook for about 5-6 minutes on each side until they are golden brown and cooked through, reaching an internal temperature of 165°F/75°C.
Remove the chicken from the skillet and set aside. In the same skillet, add minced garlic and sauté for about 30 seconds until fragrant, taking care not to burn it.
Pour balsamic vinegar into the skillet and bring it to a simmer. Add chopped figs and honey, stirring to combine before cooking for about 5-7 minutes to allow the mixture to reduce and thicken slightly.
Return the chicken breasts to the skillet, turning them in the balsamic fig glaze until thoroughly coated. Let them cook for an additional 2-3 minutes until heated through.
Remove from heat and let rest for a couple of minutes before serving on a platter garnished with fresh rosemary or thyme if desired. If you prefer a thicker glaze, simmering longer will achieve your desired consistency.