Prepare the Chicken – Dredge the sliced chicken fillets in the seasoned flour mixture, coating evenly, and set aside.
Sauté in the Instant Pot – Set the Instant Pot to "Sauté" mode on high heat. Add olive oil and 2 tablespoons of butter, letting it melt for about 3 minutes.
Sear the Chicken – Working in batches, lightly brown each chicken fillet for about 1 minute per side, then remove and set aside. Leave excess oil in the pot for added flavor.
Caramelize the Onions – Add the remaining 2 tablespoons of butter to the pot. Once melted, stir in the onions and sauté for about 10 minutes, stirring occasionally, until they soften and slightly brown. Scrape up any browned bits from the bottom of the pot.
Add the Broth – Pour in the French onion soup and stir. Return the seared chicken to the pot.
Pressure Cook – Secure the lid, set the valve to sealing, and pressure cook on high for 5 minutes. Use a quick release when finished.
Prepare the Toast – While the chicken cooks, bake the Texas toast or garlic bread according to package instructions. Arrange it in a casserole dish once done.
Thicken the Sauce – After removing the cooked chicken, keep the Instant Pot on "Sauté" mode. Mix cornstarch with 3 tablespoons of water, then stir it into the sauce. Add onion soup mix (if using) and cook for 1 minute, stirring until thickened.
Assemble the Dish – Place the cooked chicken fillets over the bread in the casserole dish. Spoon sauce over the chicken and add a slice of Swiss cheese on top.
Broil for Final Touch – For a melty, golden finish, broil in the oven for about 5 minutes, until the cheese bubbles and slightly browns. Sprinkle crispy fried onions on top for extra crunch.