Pat salmon fillets dry with paper towels and season both sides with salt, pepper, and dried oregano.
Heat olive oil in a large skillet over medium-high heat until shimmering.
Place salmon fillets in the skillet, skin-side up, and sear for 5 to 6 minutes until a golden-brown crust forms.
Flip the fillets and cook for an additional 3 to 4 minutes or until the internal temperature reaches 145 degrees Fahrenheit.
Remove salmon from the skillet and transfer to a plate; tent with foil to keep warm.
Reduce heat to medium and add butter to the skillet, stirring until melted.
Add minced garlic and sauté for 60 seconds until fragrant but not browned.
Whisk in the heavy cream, lemon juice, and lemon zest; simmer for 2 to 3 minutes until the sauce thickens slightly.
Return the salmon to the pan and spoon the creamy sauce over the fillets.
Garnish with fresh parsley and serve immediately.