1. Cook the fettuccine pasta according to package instructions until al dente. Drain and set aside.
2. In a large skillet, heat olive oil over medium heat. Add the sliced chicken breasts and season with salt and pepper. Cook until golden brown and cooked through, about 6-7 minutes.
3. Add minced garlic to the skillet and cook for an additional minute until fragrant.
4. Pour in the heavy cream and bring to a simmer. Stir in the Parmesan cheese until melted and smooth, then season with more salt and pepper if needed.
5. Add the cooked fettuccine to the sauce, tossing to coat well.
6. Serve hot, garnished with chopped parsley.