Preheat the broiler.
In a small bowl, thoroughly combine the butter, lime zest, ginger, and ½ teaspoon salt.
Lightly season the fillets with salt and pepper and place on a baking sheet.
Broil for 4 minutes. Brush each fillet with some of the lime-ginger butter and continue to broil for 1 minute or until the fish is done to your liking.
These delicate fillets cook in a jiffy, so make sure to pay attention while they are under the broiler. Overcooking fish dries it out and causes it to lose its flaky texture.