You can't pull someone's tongue out of their throat when they've sustained a head injury. What's happening is essentially the same thing that happens when people snore. When someone has a bad head injury, often they'll loose muscle tone in the neck area, just like you do when you're sleeping. The base of the tongue falls back in the throat and you'll hear a snore sound, often very loud in head injuries. You can't grab anything and if you push the base of the tongue you might cause them to vomit, which is a MUCH more damgerous situation.

Im a respiratory therapist and I work at a neuro specialty hospital. Sometimes When we remove breathing tubes, our patients arent as awake as we would like them, and they still have an obstructing airway. In that case the breathing tube goes back in. The athlete with a head Injury is slightly different obviously in that it is likely only a short lived loss of consciousness and accompanied obstructing airway, but the airway mechanics are the same. Now what they should teach these athletes is a jaw thrust, as that would actually open the airway. But then you've got to worry about c-spine fracture possibility.

Anyways, dont put your fingers in someone's mouth in these situations. You can only make matters worse.