I’m sorry to report, there is currently no known way to transplant an entire human eye. However, I recommend a visit to an Oculist to have an evaluation, and revision or replacement of the current prosthesis. A well-fitted one should be significantly more comfortable.
Thanks for the great question,
Dr. John Lowitz, OD
have attached a link to a 2016 article, but I haven't heard of much progress in this area lately: