No native support. PC flight sticks (USB/HID) use different protocol than Xbox 360 controllers (XInput wireless / wired USB with security chip).
For 360 flight games (Ace Combat 6, IL-2 Sturmovik, Tom Clancy's H.A.W.X.): Use Xbox 360 controller (surprisingly good) or buy Xbox 360-specific flight stick (rare: Saitek Cyborg Evo wired, Mad Catz — used only).
Cronus/streaming are compromises. Native 360 stick market is dead. Consider PC version + joystick instead.