Sprinkle chicken with 1/4 teaspoon salt and 1/8 teaspoon pepper. In a large skillet, cook chicken in oil over medium heat until a thermometer registers 165°, 8-10 minutes turning once. Remove and let stand at least 5 minutes. Meanwhile, cook fettuccine according to package directions., In the same skillet, melt butter over medium-low heat. Stir in cream, 1/2 cup Parmesan cheese, Romano cheese, nutmeg and remaining salt and pepper. In a small bowl, whisk egg yolks; stir in a small amount of hot cream mixture into egg yolks. Return all to the pan, stirring constantly. Cook and stir over medium-low heat until a thermometer reads 160° and has thickened slightly. , Drain fettuccine; serve with Alfredo sauce, sliced chicken and remaining 1/4 cup Parmesan cheese. Garnish with fresh minced parsley.