Cook the pasta according to package instructions until al dente. Drain and set aside, reserving 1/2 cup of pasta water.
In a large skillet, heat the olive oil over medium heat. Add the minced garlic and red pepper flakes, sautéing for about 1 minute until fragrant.
Add the shrimp to the skillet, seasoning with salt and pepper. Cook for 2-3 minutes on each side until the shrimp are pink and opaque. Remove the shrimp from the skillet and set aside.
In the same skillet, pour in the chicken broth and bring to a simmer. Stir in the heavy cream and let it cook for 2-3 minutes until slightly thickened.
Add the grated Parmesan cheese and lemon juice, stirring until the cheese is melted and the sauce is creamy. If the sauce is too thick, add reserved pasta water a little at a time until desired consistency is reached.
Return the shrimp to the skillet, mixing well to coat them in the sauce. Add the cooked pasta and toss until everything is well combined.
Serve immediately, garnished with fresh parsley.