Preheat the oven to 450°F / 232°C.
Whisk together all ingredients for the dressing.
In a mixing bowl combine 1/4 cup of the dressing and the chicken (reserve the rest of the dressing for topping the salad). Stir well to coat the chicken.
Pour the panko breadcrumbs into a bowl or shallow baking dish.
Drizzle the oil over a large rimmed sheet pan and tip the pan until there is a thin layer of oil covering the entire surface.
Working with one piece of chicken at a time, press it firmly into the panko breadcrumbs to coat it on both sides.
Line the chicken up in a single layer in the sheet pan.
Spray the tops of the chicken with olive oil or nonstick cooking spray or drizzle them lightly with some more oil. (This helps them to brown.)
Season the tops of the chicken pieces generously with some salt and pepper.
Bake the chicken until golden on top and cooked through, 12 to 15 minutes. In the last few minutes of cooking, you can turn on the oven’s broiler to give the chicken a darker brown crust.
In a large bowl toss lettuce, carrots, bell pepper, cheese, and green onions. Add in about half of the dressing, tossing everything to coat.
Divide salad between serving bowls and top with crispy chicken. Serve extra dressing on the side to drizzle over the finished salads.