01 - Pat the chicken breasts dry with paper towels and 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, stirring constantly to prevent browning.
04 - Pour in the chicken broth and heavy cream, stirring well to combine and scraping up any browned bits from the bottom of the skillet to deglaze.
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 homogeneous.
06 - Stir in the chopped chives and parsley. Let the sauce simmer gently for 2 to 3 minutes, stirring occasionally, until it thickens enough to coat the back of a spoon.
07 - Return the chicken breasts to the skillet, spooning the sauce over them to coat evenly. Simmer for another 2 to 3 minutes until the chicken is heated through.
08 - Transfer the chicken to serving plates and spoon the sauce generously over the top. Garnish with additional fresh chives if desired. Serve immediately alongside roasted potatoes or steamed green beans.