Cook the shrimp: In a large skillet, heat olive oil over medium-high heat. Add shrimp and garlic, cook until shrimp are pink (about 2-3 minutes per side). Remove shrimp and set aside.
Prepare the pasta: In the same skillet, add chicken broth and bring to a boil. Add fettuccine and cook according to package instructions until al dente.
Make the sauce: Reduce heat to low, stir in heavy cream and Parmesan cheese until melted and combined.
Combine ingredients: Return shrimp to the skillet, tossing to coat in the Alfredo sauce. Season with salt and pepper.
Serve: Garnish with fresh parsley and serve immediately.