Start by patting the chicken breasts dry with a paper towel. This helps them sear better in the pan without steaming. Once dry, sprinkle both sides generously with salt and pepper. Proper seasoning is key to building flavor from the start.
Heat the olive oil and butter together in a large skillet over medium-high heat. Once the butter melts and starts to bubble, add the seasoned chicken breasts. Let them cook for about 5-6 minutes per side, until golden brown and almost cooked through. Then, remove the chicken and set aside on a plate.
Lower the heat to medium. Add the minced garlic into the same skillet and sauté for 30 seconds until fragrant — be careful not to burn it. Pour in the chicken broth and scrape up all the flavorful bits stuck to the bottom of the pan. This builds depth in the sauce.
Add the Boursin cheese directly into the skillet along with the heavy cream. Stir gently until the cheese is fully melted and the sauce turns creamy and smooth. Let it simmer for a couple of minutes to thicken slightly — it should coat the back of a spoon.
Place the chicken breasts back into the skillet, spooning the sauce over each piece. Cover with a lid and simmer on low heat for another 5-7 minutes, or until the chicken is fully cooked through. This also helps the flavors meld beautifully into the meat.
Sprinkle fresh parsley over the chicken just before serving. Spoon extra sauce over the top for added flavor. Serve hot with pasta, mashed potatoes, or warm bread to soak up the creamy garlic herb sauce.