Fettuccine with Turkey and Brandied Mushrooms

1 pound turkey cutlets (about 3)

1 1/4 teaspoons salt

1/2 teaspoon fresh-ground black pepper

2 tablespoons butter

2 scallion s, white bulbs and green tops chopped separately

1 pound mushroom s, cut into thin slices

1/3 cup brandy

1 cup canned low-sodium chicken broth or homemade stock

1/2 pound fettuccine

1/4 cup heavy cream

2 tablespoons chopped fresh parsley