Preheat your oven to 400°F (200°C).
Line a baking sheet with parchment paper. Place the salmon fillets on the sheet and drizzle with olive oil. Season with salt and pepper.
Bake the salmon in the preheated oven for 12-15 minutes, or until it flakes easily with a fork.
While the salmon is baking, prepare the lemon butter cream sauce. In a small saucepan over medium heat, melt the butter. Add the minced garlic and sauté for about 1 minute until fragrant.
Stir in the heavy cream, lemon juice, and lemon zest. Bring the mixture to a gentle simmer, then reduce heat to low and let it cook for 3-5 minutes, stirring occasionally, until slightly thickened. Season with salt and pepper to taste.
Once the salmon is done, remove it from the oven and drizzle the lemon butter cream sauce over the top.
Garnish with chopped parsley before serving.