In a shallow bowl, whisk together the egg, water, and salt until smooth.
In another shallow bowl, combine the Parmesan cheese and bread crumbs, stirring well to mix.
Dip the chicken cutlets into the egg mixture, coating well on both sides; then place into the Parmesan mixture, coating well on both sides.
Place prepared cutlets on a separate plate and set aside.
Coat a large nonstick skillet generously with cooking spray and place over medium-high heat.
Working in batches, cook the chicken in a single layer, for 4 minutes on each side, until cooked through and Parmesan crust is browned to desired crispiness.
In between batches, wipe the skillet clean with paper towels and re-coat it generously with cooking spray.