Preheat the oven to 375°F (190°C).
Season the chicken breasts with salt and pepper.
Heat olive oil in a large, oven-safe skillet over medium-high heat.
Sear the chicken breasts for 4-5 minutes on each side.
Remove the chicken and set aside, then add the chicken broth to deglaze the pan.
Stir in the Boursin cheese until melted and smooth.
Return the chicken to the skillet, spoon the sauce over them, and garnish with parsley.
Transfer the skillet to the oven and bake for 15-20 minutes, or until the chicken is cooked through.