Heat the oven to 400°F. Pat the cod fillets dry and arrange them in a lightly oiled 9x13-inch baking dish; season evenly with the kosher salt and black pepper.
In a small bowl, whisk together the melted unsalted butter, olive oil, minced garlic, lemon zest, lemon juice, dry white wine, paprika, and chopped fresh parsley until emulsified.
Pour the mixture over the seasoned cod, coating the fillets evenly.
Bake until the cod is opaque, flakes easily with a fork, and registers 135°F at the thickest part, 12–15 minutes depending on thickness.
Spoon the pan juices over the fillets and rest 2 minutes before serving.