01 - Preheat oven to 400°F (200°C). Position the rack in the center.
02 - In a small mixing bowl, combine the goat cheese, cream cheese, chopped basil, chives, minced garlic, and lemon zest. Season lightly with salt and pepper and stir until well blended.
03 - Using a sharp knife, slice a deep pocket into the side of each chicken breast, taking care not to cut all the way through.
04 - Generously fill each pocket with the cheese mixture. Secure the openings with toothpicks if needed to keep the filling enclosed.
05 - Season the outside of each stuffed chicken breast evenly with salt, pepper, and dried thyme or herbes de Provence.
06 - Heat olive oil in a large ovenproof skillet over medium-high heat. Sear the chicken for 2 to 3 minutes per side until a golden crust forms.
07 - Transfer the skillet to the preheated oven. Bake for 20 to 25 minutes until the chicken is cooked through and the internal temperature reaches 165°F (74°C).
08 - Remove from the oven and let the chicken rest for 5 minutes. Remove any toothpicks and serve hot.