Can you cook with frostbitten meat?

As long as it has remained frozen, then yes, it is probably safe to eat. The problem will be if the meat has dried out in the freezer, which can happen if it is not sealed to retain moisture.

Depending on what it is, you might cook it slowly in a stew or soup; in small stewed pieces, you won't much notice the fact that the meat was dry.

If the freezer burn was the result of poor packaging rather than extreme age, you might try cutting off the dried out spots. The freezer burned portion almost always has an off-flavor so you wouldn't want to add that to your recipe. Those spots tend to be rather papery and can come off somewhat easily.

Realize, though, that even the unburned portion meat may have turned rancid or picked up other flavors, so it might not be edible anymore.