Slice chicken breasts into thinner cutlets if needed.
Mix salt, pepper, paprika, and garlic powder. Season the chicken on both sides.
Lightly coat the chicken in flour and shake off the excess.
Heat butter and olive oil in a skillet over medium heat.
Cook chicken for 3–4 minutes per side until golden. Transfer to a plate.
Lower the heat and add garlic, thyme, oregano, and rosemary. Cook 30–40 seconds.
Pour in chicken broth and scrape the pan to release browned bits.
Add heavy cream and bring to a gentle simmer.
Let the sauce thicken slightly, then stir in parmesan until smooth.
Return chicken to the skillet and simmer for 5–7 minutes.
Spoon sauce over the chicken and finish with fresh parsley.