Set a large ovenproof skillet over high heat. Heat the remaining 2 teaspoons of oil in the skillet. Add the salmon fillets, skinned side up, season with salt and pepper and cook until browned on the bottom, about 3 minutes. Turn the fillets. Transfer the skillet to the oven and bake for about 5 minutes, or until just cooked through. Transfer the salmon to a platter and let cool to warm, then break it up into chunks.