Heat the oil in a large non-stick frying pan over medium-high heat. Put the fish on the frying pan so the fillets are not touching each other. Sprinkle with 1/3 tsp salt and 1/8 tsp of pepper.
Cook the white fish for 3 minutes, then flip the fish fillets to the other side and sprinkle with another 1/3 tsp salt and 1/8 tsp pepper. Cook for 2 minutes (or until the fish is cooked - opaque throughout and flakes easily with a fork).
Remove the white fish from the frying pan and serve.