Mash the boiled potatoes in a bowl until completely smooth and free of lumps.
Mix in one egg, salt, pepper, and chopped parsley until well combined.
Flatten a portion of potato mixture in your hand, add shredded chicken and a piece of cheese, then seal into a ball.
Repeat with remaining mixture and place balls on a tray.
Beat two eggs in a shallow bowl for the egg wash.
Dip each ball in egg wash, then roll thoroughly in breadcrumbs.
Heat oil in a deep pan to 350°F.
Fry the balls in batches until golden brown and crispy on all sides.
Drain on paper towels and serve warm.
Tip: Keep oil temperature steady so the coating browns evenly without absorbing excess oil.