Preheat the oven to 375°F (190°C).
Add chicken pieces, pasta, chicken stock, Parmesan cheese, lemon zest, garlic, and salt to a 13×9-inch baking dish.
Stir the ingredients together until evenly combined and the pasta is mostly covered with liquid.
Place the block of cream cheese in the center of the baking dish.
Cover the dish tightly with aluminum foil.
Bake until the chicken is cooked through and the pasta is tender.
Remove the foil and stir the cream cheese into the pasta mixture until it melts and creates a creamy sauce.
Serve warm.