These corn cakes are full of flavor, and gluten-free as well.
In a large nonstick skillet, heat 1 teaspoon oil over medium. Add corn and zucchini and season with salt and pepper; cook until vegetables soften slightly, 3 to 5 minutes. Transfer to a medium bowl and let cool, 5 minutes. Add scallions, eggs, and cornmeal to corn mixture and stir to combine.
Wipe skillet clean, then heat 2 tablespoons oil over medium. In batches, cook cupfuls corn mixture until set on bottom, about 3 minutes. Flip and cook until cakes are cooked through, 2 minutes. Transfer to a plate. Sprinkle corn cakes with goat cheese and serve with ham if desired.
You can substitute frozen corn for the fresh and feta for the goat cheese.