[ Italian Recipes] Chicken Fettuccine with Broccoli

Kosher salt and freshly ground black pepper

12 ounces fettuccine

Olive oil, for tossing

12 ounces boneless, skinless chicken breast (about 2) 

1 stick (8 tablespoons) unsalted butter

2 cups heavy cream

2 pinches freshly grated nutmeg

1 1/2 cups freshly grated Parmigiano-Reggiano 

2 cups of  broccoli