Heat the oil to 180 degrees Celsius (356 degrees Fahrenheit).
Put the flour on a plate.
Crack an egg into a plate and whisk it.
Place the breadcrumbs on a plate.
Carefully lift the poached egg out of the ice water and pat it dry with a clean tea towel or kitchen paper.
Coat the poached egg first in the flour (on both sides), then the whisked egg on both sides, and finally in the breadcrumbs on both sides.
Carefully place the egg into the oil and repeat the process with the other egg.
The eggs should come out of the oil as soon as the coating has taken color, which takes about 1-2 minutes. It is cooked, and overcooking in the deep fryer will ruin the whole experience.
Lift the eggs out of the oil, sprinkle with flaky salt on top, and serve immediately.