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, stirring occasionally, until softened and translucent. Add the minced garlic and sauté for 1 additional minute until fragrant.
03 - Lower the heat slightly. Add the softened cream cheese, milk, and grated Parmesan to the skillet. Whisk continuously until the cheeses melt into a smooth, velvety 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 generously over each piece. Reduce the heat to low, cover the skillet with a lid, and simmer 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. Sprinkle the chicken and sauce with freshly chopped chives or parsley. Serve immediately over rice, pasta, or alongside steamed vegetables.