Season chicken breasts on both sides with salt and black pepper.
Heat olive oil and 1 tablespoon of butter in a large skillet over medium-high heat.
Sear chicken for 5-7 minutes per side until golden brown and the internal temperature reaches 165°F (74°C). Remove chicken from the skillet and set aside on a plate.
Reduce heat to medium. In the same skillet, add the remaining 3 tablespoons of butter.
Add minced garlic to the melted butter and sauté for 1 minute until fragrant.
Pour in chicken stock to deglaze the pan, scraping up any browned bits with a wooden spoon.
Stir in the heavy cream and bring to a gentle simmer for 2-3 minutes.
Reduce heat to low and whisk in the parmesan cheese, thyme, and rosemary until the sauce thickens slightly.
Place the chicken breasts back into the skillet and spoon the sauce over them to coat.
Garnish with fresh parsley and serve immediately.