How to remove black permanent from nylon yelloow shorts?

You can soak in nail polish remover. To get that scent out wash regularly in washer.

Use hair spray to remove permanent marker:

as soon as possible, spray the mark liberally with hair spray. allow it to sit for 1 minute then rinse in clear warm water. if some stain remains, repeat, until all stain is removed and then launder as usual.

try isopropyl alcohol, also called rubbing alcohol. the reason the hair spray or hand sanitizer sometimes works for removing ink is because of the alcohol content