In a small bowl, combine softened butter, minced garlic, chopped parsley, chopped dill, lemon zest, salt, and black pepper. Mix thoroughly until evenly combined. Set aside at room temperature.

Cook the Salmon

Prep salmon

Pat the salmon fillets dry with a paper towel. Brush both sides with olive oil and season evenly with salt and black pepper.

Sear salmon

Preheat a large skillet over medium-high heat. Place the salmon fillets skin-side down into the hot skillet. Press gently with a spatula to ensure even contact with the pan. Cook for 5-6 minutes without moving, until the skin is crispy and the salmon is cooked about two-thirds of the way up.

Flip and finish

Carefully flip the salmon fillets and cook for an additional 2-3 minutes, until the flesh is opaque and flakes easily with a fork.

Add lemon rounds

During the last minute of cooking, add the lemon rounds to the pan to sear slightly and release their aroma.

Serve

Remove the salmon from the skillet and plate each fillet. Top with a spoonful of the garlic herb butter and a seared lemon round. Serve immediately.