In a bowl, whisk the egg. Put the flour on a large plate.
Heat the oil in a large non-stick frying pan over medium-high heat.
Dip each fish fillet in the egg on both sides, then put the fish fillet on the plate with flour. The flour will stick to one side of the fish, then flip the fish so the flour sticks to the other side of the fish.
Put the fish coated with egg and flour on the frying pan. Sprinkle the fish with 1/2 tsp salt and 1/8 tsp pepper. Cook for 4 minutes, then flip the fish to the other side. Sprinkle with the remaining 1/2 tsp salt and 1/8 tsp of pepper. Cook for another 4 minutes, then remove from heat and serve.