Heat the oven: Preheat to 400°F (200°C).
Lightly grease a baking dish just large enough to hold the fish in a single layer.
Pat the cod dry: Use paper towels to remove moisture. Dry fish browns better and won’t turn watery.
Make the sauce: In a small bowl, whisk melted butter, olive oil, lemon zest, lemon juice, garlic, Dijon, salt, pepper, paprika, and parsley.
Season and arrange: Place cod in the baking dish. Spoon most of the sauce over the fillets, coating evenly. Tuck in a few lemon slices on top if you like.
Bake: Cook for 10–14 minutes, depending on thickness. Thin fillets finish closer to 10 minutes; thicker ones may need up to 14.
The fish is done when it flakes easily and reaches an internal temperature of 145°F (63°C).
Finish: Spoon the remaining sauce from the bowl (or pan juices) over the hot fish. Sprinkle with extra parsley. Taste and add a pinch more salt or lemon if needed.
Serve: Pair with steamed rice, roasted asparagus, garlicky green beans, or a crisp salad.