Melt the butter in a large pot over medium heat. Add the chicken pieces and cook until lightly browned on all sides.
Stir in the minced garlic and cook for one minute until fragrant.
Add the broken fettuccine, chicken broth, heavy cream, salt, and black pepper. Bring the mixture to a boil.
Reduce the heat to a simmer and cook for 12 to 15 minutes, stirring often, until the pasta is tender and most of the liquid has been absorbed.
Remove the pot from the heat and stir in the grated Parmesan cheese until the sauce becomes creamy and smooth.
Sprinkle the chopped parsley over the top before serving.