A common misconception is that an infected or abscessed tooth cannot be removed until the infection has subsided. This is not always the case, as sometimes the best way to eliminate the infection is to extract the tooth. Your dentist can always remove an infected tooth, but it may not be possible due to the extent and severity of the infection. If they do, it will be a very painful experience.
In some cases, antibiotics may be necessary before extraction to make it safe. However, if the infection has not progressed too far, it can often be treated manually. If an abscess has formed under the tooth, the dentist can make an incision and drain it, then flush out any remaining infected material with saline solution. A dentist can definitely remove an infected tooth, but it depends on how serious the case is.
If the abscess surrounding the tooth has deep roots, other treatment options may be suggested instead of extraction. This could include draining all of the pus from the abscess and prescribing antibiotics. Simple and surgical extraction are two ways to extract a tooth, depending on your case.