Whisk the eggs in a bowl and season with some salt and pepper. Place a medium-sized frying pan over the stove. Once heated, melt the butter then pour the beaten egg. Fry until the wrap becomes firm.
Prepare a separate bowl for the diced avocado. Squeeze a piece of lime over and stir. Mix in the shrimps, some chopped parsley, mayonnaise, and red pepper flakes. Sprinkle with salt and pepper before gently stirring.
Serve the mixture on the egg wrap and scatter the remaining chopped parsley on top. Enjoy.