Preheat the oven to 400 degrees F (200 degrees C). Bake pompano in the preheated oven until fragrant, about 20 minutes. Remove aluminum foil; continue baking until pompano flakes easily with a fork, about 10 minutes more. Peel back skin and lift pompano flesh off the bones using a fork. Transfer to a serving plate.
Season both sides and inside of the pompano with dill, salt, and pepper. Slice remaining 1/2 of the lime and arrange slices inside. Drizzle remaining 1 tablespoon olive oil over pompano; rub over both sides. Layer cabbage leaves in the bottom of a large baking dish; place pompano on top.
Pompano are a very fun fish to catch but even better to eat. During the winter time they push in through Sebastian inlet and onto the flatds. This year the pompano fishing has been exceptional and we have been slaying them! People always ask me how to prepare it and this is the recipe that I give them.
Golden or Florida pompano is an excellent source of vitamin D, selenium, vitamin B12 and thiamine. The fish is also low in mercury and is safe to eat as many as you want. The taste of baked pompano is very mild and little sweet. The texture is flaky and the flesh is white.