I've made chicken parmigiana, or chicken parmesan, for years, with "red sauce", grated parmigiana and mozzarella cheeses, breaded in Italian-style breadcrumbs and fried in olive oil first, then baked until bubbly and cheese melted. Some people add a few dollops of ricotta cheese too, like a lasagna, I don't.
Sometimes I just bread the chicken in crumbs and fry...sprinkle fresh lemon on it. I guess you could call it a chicken 'schnitzel'- or even 'tender' if cut narrow.
Funny thing about Italian tomato sauce. Many Italians call it "gravy". Many just call it "sauce". To "make a pot of sauce"- everyone knows what it is, anyway. Some say if there is meat in the tomatoes (meatballs, Italian sausage, pork ribs, brasciole, pepperoni) it's Gravy. No meat- it's Sauce.
Where I grew up it was always "sauce".
Sunday Sauce, or Sunday Gravy, is the big one, simmered long and low, enough for the meal and enough to save and/or freeze.
Oh, now I want some! Use sliced eggplant the same way, delicious!