01 - Sprinkle chicken breasts evenly with salt and black pepper on both sides.
02 - Heat unsalted butter and olive oil in a large skillet over medium-high heat. Once melted and hot, place chicken breasts into skillet and cook for 6 to 8 minutes per side until golden brown and fully cooked. Remove chicken and set aside.
03 - In the same skillet, add chopped onion and minced garlic. Sauté for 2 to 3 minutes until onion softens and garlic is fragrant.
04 - Pour chicken broth into the pan, scraping up any browned bits. Simmer for about 2 minutes to reduce slightly.
05 - Reduce heat to medium. Stir in heavy cream, parsley, chives, basil, and thyme. Simmer gently for 3 to 4 minutes, stirring occasionally, until sauce thickens lightly.
06 - Return chicken breasts to the skillet. Spoon creamy herb sauce over the chicken and heat for another 2 to 3 minutes until warmed through.
07 - Garnish with additional fresh herbs if desired. Serve immediately while hot.