Please tell me can fractured inflammed leg in a cast be relieved from swelling by providing cold air conditioner air?

Ice is better: Ice is better at controlling swelling. If your leg is swelling in the cast, the cast may need to be removed and another one done that allows for the swelling. If the cast is too tight due to swelling, it will cut off your circulation and cause worse pain, possibly damage to the leg. I recommend you see a doctor to have the cast removed if it is too tight.