Thoroughly dry your fish fillets with paper towels. Place them on a rack over a sheet tray and let dry further in the refrigerator while you prepare the crust. The fish can be in the refrigerator for several hours like this if needed or for as long as it takes to put together the crust.
In a medium bowl, combine the Parmesan cheese, bread crumbs, parsley, basil and lemon zest until mixed thoroughly.
Add the salt and pepper to both sides of the fish filets. Gently coat the fish with olive oil. Take the most rounded side of the fish and press it gently into the crust mixture. Put the fish fillets on a parchment paper lined sheet pan, crust side up, then drizzle some additional olive oil over the crusted fish. Take some more crust mixture and put it on top of the filets, gently pressing to double coat the fish. If some crust “crumbs” get all over the sheet pan, push the crumbs up against each piece of fish.
Put the fish into the oven and cook for 18 minutes or until it reads 140°F internal temperature on an instant read thermometer. Remove from the oven and let the fish rest for 3-5 minutes before serving. Serve alone, with a Lemon Beurre Blanc, or with your favorite side dishes!