In a large mixing bowl, combine the all-purpose flour with salt and pepper, stirring until well blended. Gently place the chicken wing sections into the seasoned flour, ensuring each piece is thoroughly coated.
Heat the oil in a deep pot, bringing it to a temperature of 350 degrees F. Carefully add the chicken wings in small batches of 6-8 pieces, frying them for about 10-12 minutes until they achieve a rich golden-brown color and are fully cooked. Continue frying the remaining wings in the same manner.
In a separate small bowl, mix the melted butter with the lemon pepper seasoning. Once the wings are done, generously brush them with the butter mixture, tossing to ensure even coverage. Finish with a sprinkle of chopped parsley.
For an optional touch, serve the wings garnished with lemon wedges and parsley sprigs.