Prepare the sauce: melt the butter in a small saucepan over medium heat then let it brown (approximately 3 minutes). Take it off the heat and pour into a bowl. Then add lemon juice and season butter with salt and pepper.
Season fillets with salt and pepper and sprinkle with almond flour on the skinless side (or on both sides if you are using skinless fillets).
Heat oil in a skillet and add in 1 tbsp butter. When butter is melted, add fish fillets and fry for 2 minutes on each side.
Transfer the fish to the plate, drizzle each fillet with butter-lemon sauce, sprinkle with chopped parsley, and serve with some leafy greens.