I had a hen get a much larger wound than that and survive. First, trim back the feathers sticking into the wound and clean with peroxide. Use a turkey baster so you can really blast some cleanser deep into those scratches. If you don't clean the wound it can end up infected and then you have REAL problems. Apply either Neosporin (no -caine ingredients because they will kill birds) or Blukote. Neosporin works well on smaller wounds, but with my hen her wound was so large that she got very cold with the wet Neosporin on her, so I opted for Blukote. Any future cleanings can be done with betadine tea (1 part betadine to 10 parts water) or saline- do not use anymore peroxide as it actually inhibits healing. Leave the wound open to air if you can. Keep her inside a confined area in a dim spot. I put mine in a cage in my basement with towels for bedding. Add vitamins to her diet and increase her protein intake until she heals. I used antibiotics with my hen for 10 days after she started showing signs of infection, but I would wait to see if you see any signs of infection before going that route. I also used electrolytes for the first 2 days after my hen was injured, but mine wouldn't eat anything initially, so I needed to get something into her. Chickens are amazingly resilient. It took 2 months to heal up a 4 inch by 8 inch wound on my hen's back that removed the skin down to the muscle. She never regrew feathers to the area, but frankly I was surprised she regrew skin to the area.
Good luck.
