**Preheat Oven:** Preheat your oven to 375°F (190°C).
**Prepare the Salmon:** Place the salmon fillets in a baking dish. Drizzle with olive oil and season with salt and pepper. Arrange lemon slices over the salmon.
**Bake:** Cover the dish with aluminum foil and bake for 15–18 minutes, or until the salmon is opaque and flakes easily with a fork.
**Make the Sauce:** While the salmon bakes, melt butter in a small saucepan over medium heat. Add the minced garlic and sauté until fragrant, about 1 minute.
**Add Cream and Lemon:** Stir in the heavy cream, lemon zest, and lemon juice. Bring to a gentle simmer and cook for 2–3 minutes, stirring frequently.
**Incorporate Parmesan:** Add Parmesan cheese and whisk until melted and the sauce is smooth. Season with salt and pepper to taste.
**Serve:** Remove the salmon from the oven and spoon the lemon butter cream sauce over the top. Garnish with chopped parsley if desired.