Mix flour, salt, and pepper in a small bowl. Whisk the eggs to frothy in another bowl; combine Panko and coconut in a third bowl.
Dredge the shrimp in the flour mixture, then dip in the egg, and finally coat with the coconut mixture, pressing gently to adhere.
Heat oil in a large skillet over medium heat. Fry the shrimp ~2 minutes; flip and fry the other side ~2 minutes more. Shrimp should be pink and the coating should be golden brown.
