Apical root fracture in an anterior tooth is treated by:
A tooth with its root fractured in its apical third has an excellent prognosis because the pulp in the apical fragment usually remains vital, and the tooth may remain firm in its socket. 
A mobile tooth should be splinted. 
If the pulp in the coronal fragment remains vital and the tooth is stable, with or without ligation, then no additional treatment is indicated.
In the event of pulpal death in the coronal fragment, endodontic treatment can be done, which is preferably limited to the coronal fragment. 
If the tooth fails to recover, the apical root fragment can be removed surgically.


Ref : Grossman’s endodontics,13th edition, pg no:430
Extraction
Splinting for 2-3 months
Endodontic treatment
All of the above