Cook the pasta according to the package instructions. Drain and set aside.In a large skillet, heat butter and olive oil over medium heat.Add minced garlic and sauté until fragrant.Add the chicken and cook until it is no longer pink in the center.Pour in the heavy cream and stir well.Simmer the mixture for a few minutes until it thickens slightly.Add grated Parmesan cheese and stir until melted.Season with salt and pepper to taste.Add the cooked pasta to the skillet and toss until well coated.Garnish with fresh parsley.Serve hot and enjoy!