1. Cook the fettuccine pasta according to package instructions. Drain and set aside.
2. In a large skillet, heat olive oil over medium heat. Add chicken breasts and cook until golden brown and cooked through, about 5-7 minutes per side. Remove from skillet and set aside.
3. In the same skillet, add minced garlic and sauté for about 1 minute until fragrant.
4. Pour in heavy cream and bring to a simmer. Stir in grated Parmesan cheese until melted and smooth.
5. Slice the cooked chicken breasts and add them back to the skillet. Toss to coat with the sauce.
6. Add the cooked fettuccine pasta to the skillet and toss to combine. Season with salt and pepper to taste.
7. Garnish with chopped parsley and serve immediately.