Place the chicken between plastic wrap and gently flatten it to about half an inch thickness using a meat tenderizer.
Slice the chicken breast evenly into two or three pieces.
Let the chicken soak in dill pickle juice for a minimum of 30 minutes and up to an hour.
In a bowl, whisk together the egg and milk until blended.
In a separate bowl, mix the flour, powdered sugar, paprika, salt, black pepper, garlic powder, celery salt, dried basil, and cayenne.
Dip each chicken piece first into the egg mixture on both sides, then dredge thoroughly in the seasoned flour mix.
Heat oil in a skillet to approximately 345 to 350 degrees Fahrenheit, making sure it's about half an inch deep.
Fry each chicken piece for about 2 minutes per side until the coating is golden and the chicken is cooked through.
Transfer the cooked chicken to paper towels to drain excess oil.
Serve the chicken patties on toasted, buttered buns with slices of pickles.