Creating this delectable Creamy Skillet Salmon is a straightforward process. Follow these simple steps:

1. Prepare the Salmon: Pat the salmon fillets dry with a paper towel. Season both sides with salt and pepper.
2. Heat the Skillet: In a large skillet over medium heat, heat the olive oil until shimmering but not smoking.
3. Cook the Salmon: Carefully place the salmon fillets in the skillet, skin side down. Cook for about 4-5 minutes, until the skin is crispy.
4. Flip the Salmon: Gently flip the salmon fillets and cook for another 3-4 minutes or until cooked through. Remove from the skillet and set aside.
5. Prepare the Sauce: In the same skillet, add the minced garlic and sauté for about 30 seconds until fragrant.
6. Add Cream and Mustard: Stir in the heavy cream, Dijon mustard, lemon juice, and lemon zest. Bring the mixture to a gentle simmer.
7. Incorporate Cheese: Add the Parmesan cheese and stir until melted and smooth. Adjust seasoning with salt and pepper if needed.
8. Return the Salmon: Place the cooked salmon back in the skillet, spooning the sauce over the top to keep it moist.
9. Serve: Allow it to simmer for an additional minute, then remove from heat and garnish with fresh parsley.

These steps will guide you through creating a tantalizing dish that will impress both family and friends.