Start by boiling your eggs. Bring a pot full of water to a boil before gently placing the eggs in the hot water. I use a ladle to place the eggs in the water to avoid cracking. I will usually boil to additional eggs for incidentals. Incase an egg cracks while boiling or something else happens in the cooking process. Boil for 10 minutes, no longer than 15. After the eggs are cooked, run the eggs under cold water to cool and release the egg from the shell and peel once cool enough to touch. Tap the egg on the counter to crack the shell and peel the egg to remove the shell.
Slice the egg in half, remove the yoke and set aside for later use. Rinse the white part of the egg to remove excess yoke and place on a towel to dry.
Make the batter. combine the flour and water in a bowl, mixing until no clumps remain. season with salt. Place the white part of the egg into the batter with the yoke hole facing up. using your finger, coat the inside and top of the egg with batter. Then transfer to a bowl filled with panko bread crumbs. Coat the egg with bread crumbs until no egg white can be seen. Place the breaded egg on a baking sheet or plate for later frying.
Pre-heat the oil on the stove. To test if the oil is ready, toss a bread crumb into the oil and see if it bubbles. If so, it's ready. Add the breaded yokes to the oil one by one to fry them. fry until golden brown. Turn them out, once cooked, onto a towel to remove excess oil.