01 - Generously season both sides of each chicken breast with salt and black pepper, pressing gently to help adhesion.
02 - In a large skillet over medium-high heat, melt the butter with the olive oil until shimmering.
03 - Place seasoned chicken breasts in the hot pan. Cook for 6-8 minutes on each side until golden brown and internal temperature reaches 165°F. Transfer to a plate and tent with foil.
04 - Reduce heat to medium. Add chopped onion and minced garlic to the same skillet. Sauté for 2-3 minutes until onions are translucent and fragrant.
05 - Pour in chicken broth, using a wooden spoon to scrape up any browned bits from the bottom. Allow to simmer for 2 minutes.
06 - Lower heat to medium-low. Stir in heavy cream, fresh parsley, chives, basil, and thyme. Simmer gently for 3-4 minutes, stirring occasionally, until sauce thickens slightly.
07 - Return chicken breasts to the skillet, spooning the cream sauce generously over each piece. Cook for 2-3 minutes until chicken is heated through.
08 - Transfer to serving plates, garnish with additional fresh herbs if desired. Serve immediately while hot.