Preheat oven to 425°F and line a baking sheet with foil. I use foil for easy cleanup.
Mix panko and Parmesan in a shallow bowl. Dip each tender in beaten egg, then press into pesto, then into crumbs. Coat well.
Place tenders on the sheet, drizzle 1 tbsp olive oil over them, and bake 12–14 minutes until golden and cooked through.
While they bake, toss tomatoes with vinegar, 1 tsp oil, salt, pepper, and torn basil. Let sit a few minutes.
Serve tenders with tomato salad. My kids liked dipping in extra pesto.