I start by patting the salmon fillets dry with a paper towel. Then I season both sides with salt and pepper and lightly coat them in flour, shaking off the excess. This step helps the salmon develop a golden crust while keeping it tender inside.
I heat olive oil and one tablespoon of butter in a large skillet over medium-high heat. Once hot, I add the salmon and cook it for about 3 minutes per side until golden. I remove the salmon and set it aside to keep it juicy.
In the same skillet, I add the minced garlic and cook briefly until fragrant. Then I pour in the chicken broth and lemon juice, scraping up any browned bits. This creates a flavorful base for the sauce.
I stir in the capers and lemon slices, letting the sauce simmer for a few minutes. The liquid reduces slightly and intensifies in flavor. This is where the classic piccata taste really shines.
I return the salmon to the skillet and spoon the sauce over the fillets. I add the remaining butter and let it melt into the sauce. After a couple of minutes, I finish with fresh parsley and remove it from the heat.