Course Media is tied to an individual Canvas course, not a specific user, so the first stage of moving a video from Course Media to a user's Kaltura account is determining which course the video is associated with. An instructor can follow these steps:
Tip: If you have the name of the automatically-generated Course Media owner (ex:"CourseMedia-11830-123456"), the numbers after the last hyphen (ex:"123456") are the Canvas Course Number for the course. If the course in question is on the Digital Learning Environment's Instructional instance, you can copy the Course Number into the following URL, which will take you to the correct course: https://uws.instructure.com/courses/[course number here]
On the right side of the Course Homepage, click Course Media.
On the Course Media page, locate the video you want.
Click the pencil-shaped Edit icon next to the title of the video.
Note: Changing the ownership of a video will remove it from a course's Course Media page. Once this is done, the video's new owner will be able to manage the video through their personal My Media page.