Heat oil in a large, high-sided skillet or wok over medium high heat. Add the ground turkey, garlic and ginger and brown the meat, breaking it up with a wooden spoon. Drain any excess fat.
Add the diced mushrooms, water chestnuts, green onions and cilantro to the skillet/wok and cook until the mushrooms have become tender (about 3 to 5 minutes). Add the soy sauce, hoisin sauce and sriracha sauce to the mixture, stir and heat through.
Serve the mixture in the lettuce wraps with hot white rice and an extra drizzle of sriracha hot sauce if desired. Enjoy!