01 - Season chicken breasts evenly with salt and pepper on both sides.
02 - Heat butter and olive oil in a large skillet over medium-high heat until butter melts and begins to shimmer.
03 - Add chicken breasts to the hot skillet and cook for 6-8 minutes per side until golden brown and cooked through. Remove chicken from pan and set aside on a plate.
04 - In the same pan, add onion and garlic. Sauté for 2-3 minutes until onion is softened and fragrant, stirring frequently.
05 - Pour in chicken broth, scraping up any browned bits from the bottom of the pan with a wooden spoon. Let simmer for 2 minutes to reduce slightly.
06 - Lower heat to medium. Stir in heavy cream, parsley, chives, basil, and thyme. Simmer gently for 3-4 minutes until sauce slightly thickens, stirring occasionally.
07 - Return chicken breasts to the skillet, spooning sauce over the top. Cook for another 2-3 minutes until chicken is heated through. Garnish with additional herbs if desired and serve warm.