Is it safe to pregnants to have there tooth extracted with the use of anesthesia?Is it not harmful to them and to the baby?
Why would you need anything more than local anesthetic? Pretty sure 95% of extractions are done with only local.
This is definitely an issue where you should be getting information from medical professionals and not from an online message board.
Some of the potential post-extraction scenarios could be difficult, I guess. For example, if it develops into a condition called ‘dry socket’, this is normally treated with hard-hitting antibiotics such as Metronidazole, which is disadvised during pregnancy.
But yeah, if this is about a real world case, ask a dentist, not a message board.
Pretty sure this person was just curious and will in fact see a dental professional, rather than go “hon bring the pliers and the syringe of novocaine a message board said its safe” 
Wisdom tooth extraction, specifically lower wisdom teeth, is a surgical procedure requiring twilight anaesthesia at least.
General tooth extraction is just a local anaesthetic and a large pair of grippers that the dentist is at pains to prevent you from seeing. I had both my upper wisdom teeth removed that way. It was cheaper than a normal filling.
As someone who has had surgery on my face with scalpels and stuff while awake I question if general anesthesia is really needed in a lot of cases or is used for the psychological comfort of the patient and/or dentist. Not that I’m opposed to it for that reason, the sound effects of surgery can be quite disquieting and I could have happily lived without knowing what a scalpel cutting through my skin sounds like, but for me, at least, I’m OK with being awake as long as there’s sufficient pain control.
Any individual situation needs to the attention of a dentist in real life. With someone pregnant, a lot depends on what, exactly, is going wrong. A bad abscess while pregnant can be quite risky, too, in which case having an extraction becomes very important. How far along the pregnancy is also matters, as some things are more risky to the baby early on but not so much towards the end.
Pregnant women can and do under medical procedures all the time, including surgery far more serious than a tooth extraction. Our society has gotten a little hysterical about pregnancy in some respects, and while in general it’s a good idea for the pregnant to avoid medications and surgery there are times when it is appropriate and needed.
Dentist here. yes it is safe. As a general rule we try to avoid major elective procedures during the first trimester and last month. If you are just having your wisdom teeth out to have them out we’d wait until after the pregnancy. An emergency toothache extraction usually wouldn’t be a problem. Every situation is evaluated on it’s own.