01 - Pat the chicken breasts thoroughly dry with paper towels. Season both sides evenly with salt and black pepper.
02 - Heat olive oil in a large skillet over medium heat. Sear the chicken breasts for 5 to 6 minutes per side until golden brown and cooked through to an internal temperature of 165°F. Transfer to a plate and tent loosely with foil to keep warm.
03 - In the same skillet, melt the butter over medium heat. Add the minced garlic and sauté for 1 minute until fragrant and lightly softened.
04 - Pour in the chicken broth and heavy cream, stirring well to combine and deglaze the skillet, scraping up any browned bits from the bottom.
05 - Add the Boursin cheese to the skillet, breaking it apart with a spoon. Stir continuously until the cheese is fully melted and the sauce is smooth and velvety.
06 - Stir in the chopped chives and parsley. Let the sauce simmer gently for 2 to 3 minutes, allowing it to thicken slightly.
07 - Return the seared chicken breasts to the skillet, spooning the sauce over them. Simmer for another 2 to 3 minutes until the chicken is heated through and coated evenly.
08 - Transfer the chicken to serving plates and spoon the Boursin sauce generously over the top. Garnish with additional fresh chives if desired. Serve immediately with roasted potatoes or steamed green beans.