01 - Heat olive oil and butter in a large skillet over medium heat. Season the chicken breasts with salt and pepper on both sides. Place the chicken in the skillet and sear for 3 to 4 minutes per side until a golden-brown crust forms. Remove the chicken from the pan and set it aside on a plate.
02 - In the same skillet, add the chopped onion and cook for 2 to 3 minutes until softened and translucent. Add the minced garlic and sauté for 1 additional minute until fragrant, stirring frequently to prevent burning.
03 - Add the softened cream cheese, milk, and grated Parmesan to the skillet. Whisk continuously until the mixture comes together into a smooth, creamy sauce. Stir in the dried Italian herbs until evenly incorporated.
04 - Return the seared chicken breasts to the skillet, nestling them into the sauce. Spoon the sauce over the top of each breast. Reduce the heat to low, cover the skillet with a lid, and simmer gently for 15 to 18 minutes, or until the chicken reaches an internal temperature of 165°F and is fully cooked through.
05 - Remove the skillet from the heat and sprinkle the chicken with fresh chives or chopped parsley. Serve immediately, spooning additional sauce from the pan over each portion.