Freeze the Cadbury Eggs for at least 4 hours. (This prevents them from melting in the fryer.)
Divide pizza dough into four small balls. Flatten each into a disk no larger than the palm of your hand (trim any excess). Wrap each Cadbury Egg in a disk of dough, rolling well and sealing the edges.
Carefully drop each doughnut into hot oil and fry until golden brown, about 2-3 minutes.
Remove from oil, and drain on a paper towel. Dust with powdered sugar, if desired, and eat while warm.