Bring a large pot of salted water to a rolling boil and cook the pasta until just al dente
Drain the pasta and set aside, reserving about ½ cup of pasta water
Heat olive oil in a large skillet over medium heat
Add the cooked chicken and lightly sauté for 2–3 minutes to enhance flavor
Remove chicken from skillet and set aside
In the same skillet, melt butter over medium heat
Add minced garlic and cook until fragrant, about 30–45 seconds
Slowly pour in heavy cream and milk while stirring continuously
Allow the mixture to simmer gently for 3–4 minutes until slightly thickened
Gradually add Parmesan cheese, stirring constantly until melted and smooth
Season the sauce with salt, pepper, Italian seasoning, and nutmeg
Stir until the sauce becomes creamy and well blended
Add cooked pasta and chicken back into the skillet
Toss everything together until evenly coated in sauce
Add a splash of reserved pasta water if the sauce feels too thick
Transfer the mixture into a greased baking dish
Spread evenly and top with shredded mozzarella cheese
Preheat oven to 375°F (190°C) and place dish in the center rack
Bake for 20–25 minutes until cheese is melted and bubbling
Switch to broil for 2–3 minutes to achieve a golden crust
Remove from oven and let rest for 5 minutes before serving
Garnish with fresh parsley and serve warm