Heat the olive oil in a large skillet over medium heat.
Season the chicken breasts with salt and pepper, then add them to the skillet.
Cook for 5–6 minutes on each side or until golden and cooked through. Remove and set aside.
In the same skillet, add the butter and minced garlic. Cook for 1 minute until fragrant.
Pour in the chicken broth and let it reduce slightly, about 2–3 minutes.
Stir in the cream, thyme, and parsley. Let the sauce simmer for 5–6 minutes until slightly thickened.
Return the chicken to the skillet and spoon sauce over each piece.
Simmer together for another 2–3 minutes. Garnish with fresh parsley if using and serve warm.