Preheat oven to 400°F (200°C). Line a baking tray with parchment paper, place a cooling rack on the tray, and spray the rack with non-stick cooking spray; set aside.
Put the 1 cup crushed corn flakes into a medium bowl (or crush whole flakes in a sealed bag first). Add 1/4 cup grated parmesan, 1 tsp sweet paprika, 1/2 tsp salt, and 1/2 tsp black pepper; stir to combine.
Place 1 cup all-purpose flour in a shallow bowl or plate.
Crack the 1 egg into a separate bowl and whisk until uniform.
Trim any excess fat from the 2 chicken breasts and cut each breast into even strips about 1/2–3/4 inch wide. Pat the strips dry with paper towels.
Working one strip at a time, dredge a chicken strip in the flour, shaking off excess.
Dip the floured strip into the whisked egg, then press it into the corn flake–parmesan mixture until evenly coated on all sides. Press crumbs onto the chicken so they adhere.
Place the coated strips on the prepared cooling rack in a single layer, making sure they do not touch and are evenly spaced. Repeat until all strips are coated.
Bake in the preheated oven for 20 minutes, flipping the strips once about halfway through (at ~10 minutes) for even browning, until the coating is golden and the chicken is cooked through (165°F / 74°C internal temperature if using a thermometer).
Remove from the oven, let rest for 2–3 minutes, then serve.