Preheat oven to 375°F (190°C). Spray a baking dish, just large enough to hold the chicken, with non-stick spray.
Trim excess fat from the 4 large boneless, skinless chicken breasts. Cut any very large breasts in half crosswise if desired to make even portions.
Place one chicken breast at a time inside a small zip-top bag and, using a meat mallet or heavy pan, gently pound to an even thickness of about 1/2 inch. Do not over-pound or the chicken will begin to shred. Remove the chicken from the bag.
Make several small shallow crosswise slits across the top of each chicken breast, being careful not to cut all the way through.
In a medium bowl, combine 3/4 cup mayo, 6 T coarsely-grated Parmesan, 3/4 tsp. poultry seasoning, 3/4 tsp. garlic powder, and fresh-ground black pepper to taste. Stir until evenly mixed.
Arrange the pounded chicken breasts in the prepared baking dish. Use a rubber spatula or spoon to spread the mayo–Parmesan mixture evenly over the top of each breast, covering the entire surface and pressing some of the mixture into the slits.
Bake uncovered for 35–40 minutes, until the coating is nicely browned and the chicken is cooked through (internal temperature 165°F/74°C) or the meat is firm and juices run clear.
Remove the dish from the oven and let the chicken rest for about 5 minutes. Some liquid and congealed cheese may collect in the bottom of the dish—transfer the chicken to a serving platter, leaving the liquid behind if you prefer.
Serve hot.