Preheat the air fryer or place a large pan over medium-high heat and drizzle the bottom with olive oil.
In a large bowl, add lamb, parsley, garlic, parmesan cheese, egg, liquid aminos, and seasoning. Mix well with a spatula to combine the ingredients.
Using your hands, form the meat into patties about a half-inch thick. Placed on a clean plate.
When the air fryer is hot, place the patties on an air fryer-safe pan. Put them in the air fryer for 10 to 15 minutes, or until fully cooked.
If you're using a pan, put your patties inside the pan, reduce heat to medium, and cook on both sides for about five to seven minutes, or until fully cooked.
To serve, place the patties on a plate and top with tomato and basil. Drizzle with balsamic vinegar if desired.