Prepare the Chicken: Begin by patting the chicken breasts dry with paper towels. Rub them evenly with olive oil, then generously season both sides with Cajun seasoning, along with a sprinkle of salt and freshly ground pepper.
Cook the Chicken: Heat a large skillet over medium heat. Once hot, add the seasoned chicken breasts to the skillet. Cook for approximately 6-7 minutes on each side, or until the chicken is fully cooked, juicy, and no longer pink in the center (the internal temperature should reach 165°F/75°C). Once cooked, transfer the chicken to a cutting board and let it rest for a few minutes.
Slice the Chicken: After resting, slice the chicken breasts into thin, bite-sized strips, ensuring they remain moist and flavorful.
Assemble the Wraps: Lay out the tortillas on a clean flat surface. In the center of each tortilla, create a layer of chopped romaine lettuce. Top this with half of the halved cherry tomatoes, followed by the sliced Cajun chicken. Drizzle with Caesar dressing and sprinkle freshly grated Parmesan cheese over the top.
Wrap It Up: To form the wraps, fold in the sides of each tortilla, ensuring the filling stays enclosed. Then, roll the tortilla tightly from the bottom up until completely wrapped. Repeat this process for the remaining tortillas.
Serve: Cut each wrap in half diagonally for easier handling and a nice presentation. Arrange the wraps on a serving platter, and drizzle any extra Caesar dressing atop for added flavor. If desired, garnish with fresh parsley to elevate the dish visually and add a touch of color.