Line a baking sheet with foil and place a cooling rack on top.
Mix olive oil with panko in a bowl. Add cornmeal, parmesan, salt, pepper, paprika, and cayenne, stirring well to combine, and spread mixture in an even layer on a plate.
Dip tomato slices in eggs, letting any excess mixture drip back into the bowl, then press into the breading mixture on both sides to coat and carefully lay on the baking sheet. Repeat with all slices.
Bake for 20 minutes, turn over and bake an additional 20-25 minutes, or until crisp and golden.