Season the chicken breasts with salt and pepper.
Heat olive oil in a large skillet over medium heat.
Add the chicken breasts and cook for 6-7 minutes on each side, until golden brown and cooked through. Remove from skillet and set aside.
In the same skillet, add minced garlic and sauté for 1 minute until fragrant.
Pour in chicken broth and bring to a simmer, scraping up any browned bits from the bottom of the skillet.
Stir in the Boursin cheese and heavy cream, whisking until the sauce is smooth and creamy.
Return the chicken to the skillet, spooning the sauce over the top. Simmer for 2-3 minutes to reheat the chicken.
Garnish with fresh parsley and serve hot.