Trim edges of the bread and flatten the bread until very thin with a rolling pin. Arrange a piece of ham and a piece of cheese at the centre bread and fold bread like an envelope to enclose filling.
Place eggs and milk in a bowl, whisk until well combined. Dab egg mixture on seams and press lightly to seal completely. Repeat with remaining bread slices.
Place Dr. Oetker Nona Breadcrumbs in a shallow dish. Dip bread pockets in egg mixture and roll in breadcrumbs, patting down crumbs to fully coat.
Heat oil in a pan over medium heat. Place prepared bread pockets seam side down and fry until golden, turning on the other side as needed. Remove from pan and drain on a wire rack set over a baking sheet. Serve hot.