hello and welcome to hcm forum,
I would be glad to answer your query,
first of all i would like you to know that if the fractured tooth is mobile, then extraction is the only treatment followed by a fixed partial denture or an implant.
I have not seen the x-ray of your tooth, therefore i will not be able to assure as to implant or fixed partial denture will replace the extracted tooth.
I would suggest you to take a second opinion
from a prosthodontist (implantologist),
But ,if the teeth are not mobile, then composite or crowns can be placed to close the gap between the teeth.
i hope i answered your query,
i wish you good health,