Here are some tips for cleaning your American Shorthair cat’s eyes:

1. Use a clean, damp cloth to gently wipe away any discharge or debris from around the eye.
2. Avoid using water to clean the eyes, as it can irritate the delicate tissue. Instead, use a commercial eye cleaning solution or make your own by mixing a solution of equal parts sterile saline solution and distilled water.
3. Be gentle when wiping around the eye, as the skin around the eye is thin and delicate.
4. If your cat’s eyes are particularly dirty or if they have a lot of discharge, you may need to clean them several times a day.
5. If your cat’s eyes are red, swollen, or producing an excessive amount of discharge, it is important to see a veterinarian as soon as possible. This could be a sign of an underlying health issue that needs to be addressed.
6. It is also a good idea to keep your cat’s face clean by brushing their face daily to remove any dirt or debris that may have accumulated. This will help to keep their eyes clean and healthy.
7. If your cat is prone to eye problems, you may want to consider using a feline-specific eye lubricant to help keep their eyes moist and healthy.

I hope these tips are helpful! If you have any further questions or concerns, don’t hesitate to ask.