<Snipped quote by The World>
Suzy: It would be bad if my eye twitched during the surgery though, right?
The eyes are removed from the body for this process unless you're highly against that. It's actually good training as well, since you'll be needing to use your EE to keep homeostasis within your eye-socket if you're kept awake. Otherwise, if you're unconscious, we can simply leave it in and insert it like you're thinking.