Preheat your oven to 350°F (175°C).
Prepare the chicken breasts by cutting a horizontal pocket into each one. Be careful not to cut all the way through—you want the filling securely enclosed.
Season both sides of each chicken breast generously with salt and pepper.
Divide the Boursin cheese into four portions. I like to cut the round of cheese into four even half-moon-shaped pieces for easy stuffing.
Stuff one portion of cheese into the pocket of each chicken breast, making sure it’s fully enclosed.
Wrap each stuffed chicken breast in 1-2 slices of prosciutto, depending on their size. The prosciutto will adhere to itself, securing the chicken and cheese inside.
Heat olive oil in a large oven-safe skillet over medium heat. Sear the prosciutto-wrapped chicken breasts for 2-3 minutes per side, until lightly browned.
Transfer the skillet to the preheated oven and bake for 10-15 minutes, or until the internal temperature of the chicken reaches 180°F (82°C).
If desired, squeeze fresh lemon juice over the chicken before serving to add a bright, zesty finish.