In a mixing bowl, combine all the Caesar dressing ingredients and stir until smooth and creamy. Scoop out 4–5 tablespoons of the dressing and toss it with the chopped romaine lettuce in a separate medium bowl until evenly coated. Cover both the dressed lettuce and the remaining dressing and refrigerate them separately until you’re ready to assemble the sandwiches.
Place the chicken cutlets on a cutting board. If they’re uneven in thickness, gently pound them with a meat mallet or rolling pin to ensure even cooking. Season both sides generously with sea salt and freshly ground black pepper.
Prepare a breading station using three shallow dishes. In the first dish, combine the flour, salt, and smoked paprika. In the second, whisk the eggs with a pinch of salt until fully blended. In the third, mix together the panko, regular breadcrumbs, dried parsley, black pepper, sea salt, dried oregano, garlic powder, and freshly grated Parmesan cheese.
Heat a generous amount of oil in a large frying pan over medium heat. To bread the chicken, start by dredging a cutlet in the flour mixture, shaking off the excess. Dip it into the egg mixture, allowing the excess to drip off, then press it firmly into the breadcrumb mixture until fully coated. Repeat with the remaining cutlets.
Once the oil is hot—test it by dropping in a few breadcrumbs; they should sizzle immediately—carefully place the breaded chicken cutlets into the pan. Fry until golden brown and crisp on one side, about 4–5 minutes, then flip and cook the other side until the chicken is fully cooked and crispy. Transfer each cooked piece to a wire rack or paper towel-lined plate to drain any excess oil. Work in batches to avoid overcrowding the pan.
Cut the baguettes into 12 cm (5-inch) portions and slice each one open lengthwise. Spread a generous layer of the reserved Caesar dressing on the inside of each bun. Lay a crispy chicken cutlet on the bottom half, top with a generous scoop of the chilled Caesar-dressed romaine lettuce, and finish with a sprinkle of freshly grated Parmesan. Close the sandwiches, serve immediately, and enjoy—especially with a side of hot, crispy fries.