Creating Marry Me Salmon Pasta is straightforward if you follow these steps closely:

1. Cook the Pasta: In a large pot of boiling salted water, cook the fettuccine according to package instructions until al dente. Drain and set aside.
2. Prepare the Salmon: While the pasta cooks, season the salmon fillets with salt and pepper on both sides.
3. Heat the Oil: In a large skillet, heat the olive oil over medium heat.
4. Cook the Salmon: Add the salmon fillets to the skillet. Cook for about 4-5 minutes on each side, or until the salmon is cooked through and flakes easily with a fork. Remove the salmon from the skillet and set aside.
5. Sauté the Garlic: In the same skillet, add the minced garlic and sauté for about 30 seconds until fragrant.
6. Make the Sauce: Pour in the heavy cream, lemon zest, lemon juice, and thyme. Stir well and let the sauce simmer for 3-4 minutes, allowing it to thicken slightly.
7. Add Tomatoes and Cheese: Add the halved cherry tomatoes and grated Parmesan cheese. Stir until the cheese melts and the tomatoes soften.
8. Combine Pasta: Add the cooked pasta to the skillet, tossing to coat it well with the creamy sauce.
9. Flake the Salmon: Gently flake the cooked salmon and add it back to the skillet, mixing it into the pasta and sauce.
10. Serve: Remove from heat and garnish with fresh parsley before serving.