01 - Pat the chicken breasts thoroughly dry with paper towels and season both sides evenly with kosher salt and freshly ground 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 a deep golden crust forms and the internal temperature reaches 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 about 1 minute until fragrant, being careful not to let it brown.
04 - Pour in the chicken broth and heavy cream, stirring well to combine and scraping up any browned bits from the bottom of the pan.
05 - Add the Boursin cheese to the skillet, breaking it apart with a wooden 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 and the flavors to meld.
07 - Place the seared chicken breasts back into the skillet, spooning the sauce over each piece. Simmer together for another 2 to 3 minutes until the chicken is heated through and evenly coated.
08 - Transfer the chicken to serving plates and spoon the Boursin sauce generously over each breast. Garnish with additional fresh chives and serve immediately alongside roasted potatoes or steamed green beans.