Hi there.
I think your referring to pcb varnish / lacquer, very carefully i would use a very Sharpe scrapper, but pull towards you only in strokes, pushing will damage the tracks, or you could use cellulose stripper, but this is more aggressive, and if you slop it about your remove lacquer from other places, but used locally with a small artist type brush it will remove the lacquer for resoldering, it wont damage the pcb or tracks, but it does need care in use.
Once your up and running again you should re spray with a pcb lacquer, it there for insulation.
PS. if you dont have a small scrapper you can modify one from a snapped utility knife blade, be careful snapping the solid ones there very high carbon steel, ware eye protection if you intend on snapping a solid blade. Oh thick gloves leather, or tough cloth.