- 2 (1/2-inch to 1-inch thick) quarter-slices watermelon
- 2 eggs
- 1 ounce shaved Parmesan cheese, or more to taste
- 2 thin slices thinly sliced ham (optional)
- Heat a large skillet over high heat. Once hot, lie the watermelon into the pan with the rind along the edge of the pan, leaving one half the the cooking surface free.
- Crack eggs into the free space in the skillet. Top the eggs with 1/4 of the Parmesan cheese. Cook until the egg white begins to solidify on the bottom, 1 to 2 minutes. Begin folding the solid egg white over the translucent egg white. Continue cooking until the egg can be tilted with the edge of a spatula without the top part of it sliding away from the cooked egg white and is lightly crisped on the bottom, about 2 minutes more. Flip both the eggs and the watermelon pieces; sprinkle another 1/4 of the Parmesan cheese over the eggs and another 1/4 of the Parmesan over the watermelon pieces. Continue cooking until the egg whites are crisp on the underside, but the yolk remains soft when pressed lightly with the back of a spatula, 1 to 2 minutes. Remove eggs to a plate.
- Continue cooking watermelon until darkened on the underside, about 1 minute more. Flip watermelon pieces again, top with remaining Parmesan cheese, and remove to the plate with the eggs.
- Sear ham slices in any remaining liquid in the skillet just until lightly browned and heated through, 1 to 2 minutes per side. Transfer to the plate next to the watermelon and eggs.