Heat olive oil in a skillet over medium-high heat.
Season the salmon fillets with salt and pepper on both sides.
Add the salmon to the hot skillet, skin side down. Cook for 4-5 minutes until golden brown.
Flip the salmon and cook for another 3-4 minutes, then remove from skillet.
In the same skillet, add minced garlic and sauté for 1-2 minutes until fragrant.
Pour in the heavy cream, stirring constantly.
Mix in Dijon mustard and lemon juice, then season with salt and pepper.
Return the salmon to the skillet, spooning sauce over each fillet.
Serve the salmon garnished with chopped parsley.