In a medium bowl, combine the shredded chicken, Caesar dressing, lemon juice, and black pepper. Mix until the chicken is evenly coated.
Warm the tortillas briefly in a microwave or dry skillet if desired, to make them more pliable.
Lay one tortilla flat. Place one-fourth of the chicken mixture down the center.
Top the chicken with one-fourth of the chopped romaine lettuce and a sprinkle of Parmesan cheese.
Fold the sides of the tortilla inward over the filling. Then, tightly roll the bottom edge up over the filling and continue rolling until you have a secure wrap.
Repeat with the remaining ingredients for the other three wraps.
Slice the wraps in half diagonally before serving or packing.
Notes
For make-ahead lunches, mix the chicken and dressing but keep the lettuce separate until just before serving to prevent sogginess.
Use low-fat Caesar dressing to reduce fat content.
If you do not have rotisserie chicken, cook chicken breasts ahead of time and shred them.