Make the slaw. First, mix the slaw dressing ingredients (mayo, minced garlic, mustard, sugar, salt, ground black pepper, and apple cider vinegar) until well combined. Add the shredded cabbage, grated carrot, and thinly sliced red onion. Mix well and set aside while making the chicken.
Slice each chicken breast in half lengthwise so you have two thinner cutlets from each chicken breast. Pound the chicken cutlets to an even thickness using a meat mallet or a rolling pin (so that the cutlets cook evenly).
Set up the breading station for the chicken. Add the flour to a bowl or plate, the beaten egg to a bowl, and the breadcrumbs to a third large bowl or plate. Add a pinch of salt to each and add the Italian seasoning to the flour.
Season the chicken cutlets with a pinch of salt and ground black pepper. Dredge in flour, then egg, then breadcrumbs.
Add 1 cup of oil to a frying pan over medium-high heat. Once the oil is hot, add the breaded chicken cutlets and cook for about 3 minutes on the first side (until golden) and then flip and cook for another 2-3 minutes on the second side until golden and cooked through.
Remove the chicken to a wire rack (or a plate with paper towels on it) to dry and immediately season the chicken with a pinch of salt.
(Optional). Toast the ciabatta roll either in a skillet or in a toaster.
Assemble the chicken sandwich by adding the panko chicken and then red cabbage slaw on top. Other optional toppings you can add include sliced tomato, pickles, and cheese (particularly cheeses that pair well with chicken like Gouda).