01 - Pat the salmon fillets thoroughly dry with paper towels. Season both sides evenly with salt and freshly ground black pepper.
02 - Heat olive oil in a large nonstick skillet over medium-high heat. Place the salmon fillets flesh side down and cook for 3 to 4 minutes per side until golden brown and just cooked through. Transfer to a plate and cover loosely with foil to keep warm.
03 - Reduce the heat to medium. In the same skillet, melt the butter and sauté the minced garlic for about 1 minute until fragrant and softened.
04 - Pour in the dry white wine or stock and simmer for 2 to 3 minutes, using a wooden spoon to scrape up any browned bits from the bottom of the pan.
05 - Stir in the heavy cream, fresh lemon juice, and lemon zest. Simmer gently for 3 to 4 minutes until the sauce reduces slightly and thickens enough to coat the back of a spoon.
06 - Add the chopped fresh dill or parsley and season with salt and pepper to taste, stirring to incorporate evenly.
07 - Return the salmon fillets to the skillet, spooning the sauce over each piece. Cook for 1 to 2 minutes just until the fish is warmed through. Serve immediately, garnished with extra fresh herbs and lemon wedges.