For the chicken:
2 boneless, skinless chicken breasts, about 1½ pounds
Kosher salt, to taste
3 large eggs
⅓ cup grated Pecorino
¼ cup finely chopped parsley
Flour, for dredging
Olive oil, for frying
For the tomato salsa:
2 pints sungold or other small pretty tomato varieties, halved
1 cup Castelvetrano olives, crushed with the back of a knife, pits removed and discarded
1 small red onion, thinly sliced
¼ cup parsley leaves picked
¼ cup olive oil
2 teaspoons sherry vinegar, plus more to taste
Kosher salt, to taste
Freshly ground black pepper, to taste
Flaky salt, to taste