Drain and rinse the chickpeas, then coarsely mash them in a medium mixing bowl using a fork.
Stir the rolled oats, nutritional yeast, garlic powder, onion powder, sea salt, and black pepper into the mashed chickpeas.
Pour the liquid egg whites into the bowl and whisk thoroughly until the dry ingredients are fully integrated into the whites.
Lightly coat a large non-stick skillet with olive oil and place over medium heat.
Pour the batter into the skillet to form four large fritters, cooking for approximately 4-5 minutes until the edges are firm and the bottom is golden.
Carefully flip each fritter and cook for an additional 3 minutes until the centers are springy and cooked through.
While the fritters finish, bring a small pot of water to a gentle simmer and poach the whole egg for 3 minutes until the white is set but the yolk remains runny.
Plate the savory fritters in a stack, top with the poached egg, and garnish with chopped fresh parsley.