In a large bowl, whisk the eggs with minced garlic, onion powder, paprika, Italian dried herbs, chopped parsley, kosher salt, and freshly ground black pepper until combined.
Add the shredded cabbage and thinly sliced yellow onion to the egg mixture and toss thoroughly so the cabbage and onion are evenly coated.
Heat the vegetable oil in a large skillet over medium-high heat until shimmering.
Spoon or shape the mixture into patties in the hot skillet and press each patty with a spatula to flatten slightly.
Cook the patties until golden and tender, about 3–4 minutes per side, flipping carefully to avoid breaking them. Adjust heat as needed to prevent burning.
Transfer cooked patties to a plate and serve warm as part of a breakfast spread, a side dish, or an appetizer with parsley and sour cream if desired.