Prepare the fish. Preheat your oven to 400°F. Remove the cod filets 15 minutes before baking. Pat the fish dry with paper towels on both sides. Place the cod on a parchment-lined baking sheet. Lightly oil the top of the fish, and season with salt and black pepper.
Bake the fish. Place the baking sheet in the oven to bake for 10-12 minutes depending on the thickness of the cod. You will know the cod is fully baked when its internal temperature reads 145°F. The color will be opaque and glossy with a texture that is firm to touch, and easily flakes with a fork.
Make the brown butter sauce. In a medium-sized frying pan or skillet over medium-low heat melt the butter. Using a rubber spatula, stir continuously. The butter will begin to foam and bubble while emitting a nutty aroma. This will take around 2-3 minutes. You will see the milk solids start to turn a golden brown color. (Make sure to closely watch the butter, as it can go from browned to burnt in a matter of seconds). Once the butter starts to brown, stir in the minced garlic for 30 seconds or until fragrant. Remove the skillet from the burner and turn off the heat. Stir in the capers.
Spoon the sauce onto the fish. Using a fish spatula, transfer the cod fillets to a plate. Pour brown butter sauce evenly over each cod filet. Garnish with parsley, and serve with a side of lemon wedges.
Notes
To store in the fridge: Leftovers can be stored in an airtight container, in the fridge for 2 to 3 days.
For reheating: Simply reheat in the microwave for 30 seconds at a time until the fish is warmed through.