Cook the pasta according to package instructions until al dente. Drain and set aside.
Heat olive oil in a skillet over medium-high heat. Season the salmon fillet with salt and pepper and cook for 3-4 minutes on each side until fully cooked. Remove from skillet and set aside.
In the same skillet, melt butter over medium heat. Add minced garlic and sauté until fragrant.
Pour in the heavy cream and bring to a gentle simmer. Stir in the grated Parmesan cheese until the sauce is smooth and creamy.
Flake the cooked salmon into the sauce and add the cooked pasta. Toss to combine.
Season with additional salt and pepper if needed. Garnish with chopped parsley before serving.