Preheat the oven to 400 degrees F.
Place both pieces of fish on a plate and drizzle evenly with the olive oil.
Season well with salt and pepper
In an 8-10 inch non stick and oven safe pan, add the canola oil and place over a high heat.
After a few minutes the oil should be very hot. Place each piece of cod into the pan top side down into the canola oil.
Sear without moving for about 3-4 minutes.
Carefully turn the cod over and then transfer the pan to the oven.
Bake for about 12-14 minutes or until the fish feel slightly firm when gently pressed with your finger.
Take the pan out of the oven and add the butter.
As the butter is melting tilt the pan to gather the melted butter at one side and using a spoon, spoon the butter over the fish a few times. Remember the pan will be hot!
Squeeze the half of a lemon over the fish and serve garnished with chopped parsley.