Start by boiling a large pot of salted water.
Add the spaghetti or linguine and cook according to package instructions.
While the pasta cooks, heat olive oil in a large skillet over medium heat.
Add minced garlic and sauté until fragrant.
Add the shrimp to the skillet and cook until pink.
Pour in the heavy cream and stir until combined.
Add Parmesan cheese and lemon juice, mixing until the cheese melts.
Drain the pasta and add it to the skillet, tossing to coat.
Season with salt, pepper, and lemon zest.
Serve immediately, garnished with fresh parsley.