Grilled Chicken Fettuccine Alfredo

Name: Grilled Chicken Fettuccine Alfredo
Prep time: 30 min
Cook time: 30 min
Total time: 1 h
Cuisine: Italian
Ingredients: ¼ cup extra virgin olive oil; 2 tablespoons white balsamic vinegar or fresh lemon juice; 2 tablespoons fresh chopped herbs ((basil, oregano, thyme, parsley)); 1 large garlic clove, (minced); ¼ teaspoon salt; ½ teaspoon fresh ground black pepper; ¼ teaspoon crushed red pepper flakes; 2 boneless, skinless chicken breasts; vegetable oil for oiling the grill grate; 8 ounces fettuccine pasta; 1 cup heavy cream; 1 cup whole milk, (or half and half); 3 tablespoons unsalted butter; ½ teaspoon salt; 1 teaspoon fresh ground black pepper; 1 cup fresh grated Parmesan cheese; 2 tablespoons fresh chopped parsley, (for garnish)