Add salt and water to a bowl and mix. Add oysters and gently rub each one to clean them.
Drain the oysters in a colander and lightly rinse them under running water. Pat them dry thoroughly with paper towels.
Crack the egg into a bowl and beat it. Prepare two containers, one with flour and the other with panko breadcrumbs.
Coat both sides of the oysters in this order: flour, beaten egg, and panko breadcrumbs. Once the flour is applied, gently shake off any excess with your hands. After coating all the oysters, let them sit for about 10-15 minutes to allow the breading to set.
Heat oil in a pot until it reaches 340-355℉ (170-180℃). Once the oil is hot, carefully add the oysters one at a time. Deep-fry them for about 3 minutes until they turn golden brown, flipping them once after about 2 minutes.Be careful not to add too many pieces at once, as this can cause the oil temperature to drop significantly. The oysters should occupy no more than about two-thirds of the oil’s surface area.If you don't have a thermometer, drop a few panko breadcrumbs into the oil to test the temperature. When the breadcrumbs float to the surface at a moderate speed without touching the bottom, it indicates that the oil is ready. Remove the oysters from the oil and let any excess oil drain off on a wire rack. If there are any fried bits left in the oil, skim them out with a mesh skimmer or strainer, then repeat the frying process (step 5) until all the oysters are fried.
Serve on a plate with fresh vegetables if desired, and feel free to enjoy them with lemon wedges, tartar sauce, Worcestershire sauce, or your favorite condiments.