Preheat an air fryer to 400 degrees F (200 degrees C).

Place flour, Old Bay, paprika, salt, parsley, and black pepper in a gallon-sized resealable plastic bag. Seal and shake to combine. Place beaten eggs in a shallow bowl.

Pat shrimp dry using paper towels. Working in batches, add shrimp to seasoned flour and toss to combine. Dip shrimp in beaten eggs and then back in seasoned flour. Place breaded shrimp in the air fryer basket, making sure not to overcrowd. Lightly coat the tops with nonstick cooking spray.

Cook in the preheated air fryer for 4 minutes. Remove the lid and spray any chalky spots with nonstick cooking spray. Close the lid and continue cooking until desired crispness is reached, about 3 minutes more.