Hi @kay_merseth and welcome to the Community! I am assuming you are in the course as a "teacher" but please let us know if this is not the case. These documents describe how this could be done, depending on whether or not your institution allows this functionality: How do I add users to a course? and https://community.canvaslms.com/docs/DOC-12726-415241451
At many institutions, including my own, old administrators can add/remove students from a class. This is done to ensure that no one accidentally circumvents the formal registration and add/drop procedures we have in place. When a student formally adds or drops a class, our student information system sends this update to Canvas (although there can be a lag of a couple of hours). If you do not see the options described in the document above in the People's tab, I would suspect something similar to our process is in place and your best bet would be to contact a Canvas admin at your institution or perhaps the Registrar or similar department to find out how to proceed.
I hope this helps and best wishes!
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