01 - Heat olive oil and butter in a large skillet over medium heat. Season chicken breasts evenly with salt and pepper. Place in the skillet and sear for 3 to 4 minutes per side until a golden-brown crust forms. Remove and set 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.
03 - Stir in the softened cream cheese, milk, and grated Parmesan. Whisk continuously until a smooth, homogenous sauce forms. Mix in the dried Italian herbs until evenly incorporated.
04 - Return the seared chicken breasts to the skillet, spooning sauce over each piece. Reduce heat to low, cover with a lid, and simmer gently for 15 to 18 minutes until the chicken is cooked through and reaches an internal temperature of 165°F.
05 - Sprinkle generously with fresh chives or chopped parsley before serving. Serve immediately alongside rice, pasta, or steamed vegetables.