Heat oil in a stockpot over medium heat. Add turkey; cook until browned and juices have cooked off, 5 to 7 minutes. Add onions; cook and stir until transparent, about 5 minutes. Add parsnips, paprika, garlic, and oregano. Cook, stirring frequently, until garlic is fragrant, about 2 minutes. Add chicken stock and a pinch of salt. Let simmer until thickened to desired consistency, 20 to 30 minutes.