Once the grass is completely killed, it cannot be brought back to life. However, not all grass that appears dead on your lawn is actually dead. Is weak, come back to life if you can give it the right nutrients and water, as long as your dog can stay away from it.
Growing grass from its dead state takes time, patience, and a lot of care. You need to make sure you do everything you can to bring the grass back to life. Once it appears to be getting strong, mow it so it can continue to grow and thrive. Try your dog away in the future to love this place so he can recover completely.