Wow. This is not the first request for students to live with Native English Teachers by co-teachers it has happened to me within the past month for similar reasons. (The dorms being full) I later find out that was a lie, the kid did not fill out the application in time and they wanted to pawn him off on me....Really the best answer here is a clear no. It would be a hairy situation to have to clean up after the kid, do his laundry, dishes, wake him up, be responsible for him in general. You did not sign up to babysit a Korean student....Best answer and the answer I told my school was no I could not. It was unacceptable to propose such an idea.