If you keep his wound clean and infection doesn't set in, healing will start to take place. It appears there is missing skin on the skull, but there is flesh.
Clip away all feathers near the injury. Use sterile
saline solution
or a solution of 0.05% chlorhexidine may be used, to flush the wound, and sterile gauze pads to gently pat dry. Don't get the bird wet, or he may get a chill.
If you can get some hydrogel that would be good for the healing process. It will seal the wound and protect it from infection. Vetericyn has a hydrogel for animals, and there are other brands on Amazon.
Another option for deep wound protection and healing, is Manuka Honey, medical grade if you can get it. Health food store usually stock this, or you can call any vet's office, to ask if they can sell you some. I purchased mine on Amazon.
Or, you can continue to use the ointment you are currently using, and see how that goes.
Since you didn't stitch the flap of skin, you will need to trim it off. It will dry up and die now, and can get infected.
If the bird seems to be in discomfort, and is no longer bleeding, you can administer an analgesic: aspirin, or carprophen, which is easier on the intestines than aspirin. I've never had quail, so I'm not sure on the dosage. However, the dosage of plain aspirin for
standard size 6-7 pound chickens, is 40 mg., may be given up to 125 mg. per day. Use a low dose 80 mg. tablet, they're easier to split with a pill splitter. Carprophen dosage is 12 mg., once daily. You'll have to weigh the quail to determine dosage.
In the days to come the body will start to fill in the area of missing skin with granulation tissue. It's the way the body repairs itself. Sort of a living bandaid. But, you must be vigilant of any infection. Infection usually appears as a thick yellow looking substance. If that happens, you'll have to carefully remove it. Read up on debridement of wounds.
You could also give an oral or IM dose of broad spectrum each day, to further prevent infection.
The bird may never grow feathers on that area again, but, it will be alive and have a unique look to it.
Best of luck to your little feathered baby!
I will say another prayer for him.
These are my thoughts on you bird's issue.
Other members will offer advice. Please consider them too.
God Bless and peace to you.