I would pick at it and see if I could get anything out of it, or remove dead skin. But that's just me. I can't leave stuff like that alone. If you can remove the hard, dry skin and get down to clean or raw tissue, then you can dress it with Neosporin. To me, it looks like an old cut.
Treat it as if it were on your own skin. If it looks like something that can be picked off without making a huge bloody mess, then I would pick it off.