Fill a heavy-bottomed 3-quart pot a third full of vegetable oil (at least 3 inches deep), and, on medium-high heat, bring to 350º / 175ºC (if you don’t have a thermometer, check for when a few bread crumbs sizzle and turn golden, but do not burn, a few seconds after you drop them in). Fry the eggs two at a time, turning gently in the oil, for 5-7 minutes, until crispy and golden brown. Remove to a rack set over a sheet tray. Sprinkle over coarse sea salt while still hot. Serve with Quick-pickled red onions
, if desired.