Place eggs in a medium mixing bowl. Beat well with a whisk to create an egg wash.
Place flour in a shallow bowl.
Place panko into another shallow bowl.
Dredge a pickle slice in flour. Move to egg wash and coat well. Allow excess to drip off, and press both sides into panko crumbs, making sure they are well-coated.
Place on a plate and repeat with remaining slices until all are breaded. (Naturally, you can do more than one at a time, if you like.)
Give a large nonstick pan a light coating of oil.
Place pan over medium heat and fry pickle slices, a few at a time, in a single layer, until they are golden brown on both sides, 1 to 2 minutes each side.
Remove from pan and drain on a paper towel-covered plate.
Continue until all pickles are fried.
Serve hot with a selection of dipping sauces.