The rationale behind making someone an appointee is that they will have regular contact with the service user and their circle of care. This may become problematic when the appointee lives overseas.
If a client with an existing appointee moves overseas and the appointee who is staying in the UK indicates that they wish to retain the role, the DWP will discuss the position with the appointee. Unless there is someone near to where the client is moving or an organisation that is able to take on the role, then it is possible for the existing appointee can remain in place.
If the appointee wishes to remain the appointee but moves abroad with the customer remaining in the UK then it may be more suitable to consider involving a new appointee or a Corporate Appointee service such as The Money Carer Foundation to resume responsibility for the required appointeeship.