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Step 1
Working with one chop at a time, pound pork between two pieces of plastic wrap with a meat mallet to between 1/4 inch and 1/2 inch thick. Season generously with kosher salt and pepper. Place flour, eggs, and panko in separate shallow dishes (such as pie dishes). Season all three with kosher salt and pepper. In a small bowl, toss shallot with 1 tablespoon vinegar and a pinch of kosher salt.
Step 2
Heat oil in a large cast-iron skillet over medium. Dredge 1 pork chop lightly in flour, then egg mixture, letting excess drip off. Coat evenly with panko. When oil is hot (a piece of panko should sizzle in skillet) but not smoking, carefully lay breaded chop in oil. Cook, undisturbed, until evenly golden brown, 4 to 5 minutes (if browning too quickly, reduce heat to medium-low). Flip and continue to cook until second side is deep golden brown, 4 to 5 minutes more. Transfer to a wire rack set inside a rimmed baking sheet; season with kosher salt. Repeat with second chop.
Step 3
Remove skillet from heat and pour out all but 3 tablespoons oil. Stir in remaining 7 tablespoons vinegar, return to medium-high heat, and cook, swirling occasionally, until liquid has almost evaporated, 2 to 3 minutes. Slice pork and return to skillet; spoon pan sauce over top and remove from heat. Toss shallot mixture with herbs, radishes, and a drizzle of oil. Season with kosher salt and pepper. Scatter salad over pork and serve, topped with flaky salt.