My name is ***** ***** I am an experienced small animal veterinary surgeon, I will be very pleased to work with you today and will try my best to answer your question to your satisfaction.
This is a fairly common sort of injury and even when they are quite extensive they are rarely stitched but left to heal on their own.
If you were to wash it with warm salt water twice aday and then gently dab it dry with clean kitchen paper and apply any sort of human antiseptic then the chances are it will heal just fine.
If it is bleeding to any extent then bandage the area for a day or so but this sort of injury heals better if left open.
Of course some injuries like this do become infected and need antibiotics and a vet's visit so keep a good eye on things but with common sense remedies such as I have outlined the chances are that everything will be fine ...
I hope I have covered your question fully enough but if you would like further clarification or to talk things over a bit more then I will be on-line for the next hour or so and I will be more than pleased to continue working with you.Regards,Scott