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Preheat the oven to 200 degrees F.
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Coarsely crush the panko into a large shallow bowl. Stir the cheese into the panko.
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Lightly beat the eggs in another large shallow bowl.
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Sprinkle the pork generously with salt and pepper. Dip the pork, 1 piece at a time, in the egg, allowing the excess to drip off, then dredge the pork in the crumb mixture, patting to coat completely. Place the pork on a small baking sheet.
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Heat ¼ cup of oil in a heavy large skillet over medium-high heat. Add half of the pork to the hot oil and cook until golden brown and just cooked through, about 3 minutes per side. Transfer to paper towels to drain, then transfer them to a clean baking sheet and keep them warm in the oven. Add the remaining 3 tablespoons of oil to the skillet and fry the remaining pork.
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Transfer the pork to plates and serve with lemon wedges.