Season salmon with salt and pepper; dredge in flour in a shallow bowl, shaking off excess.
STEP 2
Heat oil in a large cast-iron or nonstick skillet over medium-high heat. Cook fillets, turning once, until golden, about 2 minutes. Reduce heat to medium, and add garlic; continue to cook, 1 minute.
STEP 3
Add wine, lemon juice, capers, and parsley; simmer over medium-low heat until fish is just cooked through, 5 to 6 minutes. Remove pan from heat. Add butter; stir until melted, about 30 seconds.
STEP 4
Garnish with lemon slices; top with sauce before serving.