Step 1: Cook Pasta : Bring a large pot of salted water to a boil. Add fettuccine and cook according to package instructions until al dente. In the last 3 minutes of cooking, add broccoli florets. Drain pasta and broccoli, reserving 1/2 cup pasta water.

Step 2: Cook Chicken : In a large skillet, heat olive oil over medium-high heat. Season chicken with salt and pepper and cook for 5-7 minutes until golden brown and cooked through. Remove chicken from the skillet and set aside.

Step 3: Prepare Alfredo Sauce : In the same skillet, melt butter over medium heat. Add garlic and sauté for 1 minute until fragrant. Pour in heavy cream and bring to a gentle simmer. Stir in grated Parmesan cheese until smooth and creamy. Season with salt, black pepper, and nutmeg if using.

Step 4: Combine Ingredients : Add cooked pasta, broccoli, and chicken to the Alfredo sauce. Toss to coat, adding reserved pasta water a little at a time if needed to loosen the sauce.

Step 5: Serve : Transfer to serving plates and garnish with chopped parsley. Serve immediately.