01 - Preheat the oven to 375°F. Lightly grease a 9x13-inch baking dish.
02 - Bring a large pot of salted water to a boil. Add pasta and cook until just al dente, about 1-2 minutes less than package instructions. Drain and set aside.
03 - Meanwhile, steam or blanch the broccoli florets for 2-3 minutes until bright green and slightly tender. Drain and set aside.
04 - In a large saucepan, melt butter over medium heat. Add minced garlic and sauté for 1 minute until fragrant. Pour in heavy cream and bring to a gentle simmer. Whisk in 1 cup grated Parmesan until the sauce is thickened and smooth. Season with salt, black pepper, and nutmeg if using.
05 - In a large mixing bowl, toss together cooked pasta, chicken, broccoli, and Alfredo sauce until evenly coated.
06 - Spread the mixture evenly into the prepared baking dish. Sprinkle shredded mozzarella and remaining 1/4 cup Parmesan evenly over the surface.
07 - Bake uncovered for 20-25 minutes or until the top is bubbly and golden.
08 - Allow to rest for 5 minutes before serving. Garnish with freshly chopped parsley, if desired.