Heat olive oil in a large skillet over medium heat. Season the salmon fillets with salt and pepper, then place them skin-side down in the skillet. Cook for about 4-5 minutes until the skin is crispy, then flip and cook for another 3-4 minutes until the salmon is cooked through. Remove the salmon from the skillet and set aside.
In the same skillet, add minced garlic and sauté for about 30 seconds until fragrant. Be careful not to burn it.
Pour in the heavy cream and stir well, scraping up any bits from the bottom of the skillet. Bring the mixture to a gentle simmer.
Add the chopped spinach and lemon juice to the skillet. Stir until the spinach is wilted and the sauce is well combined. Season with additional salt and pepper to taste.
Return the salmon to the skillet, spooning some of the creamy sauce over the top. Let it simmer for an additional 1-2 minutes to heat through.
Serve the salmon hot, garnished with fresh parsley.