01 - Heat olive oil and butter in a large skillet over medium heat. Season chicken breasts with salt and pepper on both sides, then place in the pan. Sear for 3 to 4 minutes per side until golden brown. Remove from the skillet and set aside on a plate.
02 - In the same skillet, add the chopped onions 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, creamy sauce forms with no lumps remaining. Mix in the dried Italian herbs and blend evenly throughout the sauce.
04 - Return the seared chicken breasts to the skillet, nestling them into the sauce. Spoon sauce over the top of each breast, reduce heat to low, cover with a lid, and simmer for 15 to 18 minutes until the chicken is fully cooked through and reaches an internal temperature of 165°F.
05 - Remove from heat and sprinkle generously with fresh chopped chives or parsley. Serve immediately while hot, spooning additional sauce from the pan over each portion.