01 - Place diced potatoes in large pot of salted water. Bring to boil and cook until fork-tender, approximately 15 minutes.
02 - Drain potatoes and let sit briefly to steam off excess moisture. Mash until smooth, then mix in butter, egg yolks, Parmesan, salt, pepper, and nutmeg until well-combined. Cool enough to handle.
03 - Divide mixture into 12 portions. Roll each into oval shape for bunny head. Form two small ear shapes and attach carefully to each head.
04 - Press two almond slices for ears, two peppercorns or olive pieces for eyes, and one carrot piece for nose onto each croquette.
05 - Arrange flour, beaten eggs, and panko in separate shallow bowls for dredging.
06 - Dredge each bunny croquette in flour, dip in egg, then coat thoroughly with panko breadcrumbs.
07 - Heat vegetable oil in deep pan or fryer to 340°F. Fry croquettes in batches, 2 to 3 minutes per side, until golden brown and crisp. Remove with slotted spoon and drain on paper towels.
08 - Let cool slightly before serving to ensure decorations stay securely in place.