Place flour in a dish and mix in the salt and pepper.
Coat the sole fillets in the seasoned flour dust off any excess. Heat a large non-stick pan and add the oil. When the oil is hot cook the fish for 2 minutes until golden, then flip over and cook for another two minutes. When the second side is golden, pop the fillets onto a warm plate, while you make the sauce.
Using the same pan add the butter and place over a medium heat. Add the butter and cook until nut brown. Stir in the lemon and parsley and spoon over the fish.