In a large mixing bowl, combine ground turkey, panko breadcrumbs, chopped onion, celery, carrot, egg, salt, and pepper.
Mix the ingredients thoroughly until everything is evenly incorporated.
Form the mixture into patties, making sure they are of uniform size for even cooking.
Heat a sauté pan with olive oil over medium heat and cook the patties until they are golden brown on each side.
Transfer the patties to a 200°F oven to keep them warm if you're serving in batches.