Pat the shrimp dry with paper towels to ensure they sear properly.
Sprinkle the shrimp lightly with salt and pepper to season evenly.
Heat a skillet over medium-high heat and add the olive oil, swirling to coat the surface as it warms up.
Add the shrimp to the hot pan in a single layer, listening for a sizzle as they hit the surface.
Sear the shrimp for about 2 minutes on one side until they develop a pinkish hue and a slight golden edge.
Flip the shrimp and sprinkle the grated Parmesan cheese over them, allowing it to melt and form a crust as you cook for another 2 minutes.
Gently toss or spoon the shrimp to ensure they are evenly coated with the cheesy crust and cooked through.
Remove the skillet from heat once the shrimp are opaque and the cheese is golden and crispy at the edges.
Transfer the shrimp to a plate or serve directly from the pan for a rustic presentation.
Enjoy the shrimp while hot, with the flavorful, crispy Parmesan crust complementing the tender seafood.