It's been a year and if you are still having pain around that area, that is not normal. If this persists, it is best to remove it.
If there are no symptoms at all now, you have the option to leave it alone.
Sedation can be arranged with an anaesthetist to allay your fears of dental surgery. We can perform a simple surgical access with piezo surgical instruments, which makes the healing usually much more uneventful. If fragment is in soft issue or the gums, then it is even simpler.
However, this is dependent on the depth of the root fragments, and if there was any pathology around it.
Hope this helps.
Sincerely,
Dr Jerry Lim
