It is judicial review, if the care planning has been flawed by the sort of thinking that amounts to a ground for judicial review in public law terms – or the complaint system if the issue is not such a serious one. Eligibility decisions get challenged by another route, but those are not necessarily apt for resolution of a care planning issue.
There is no equivalent to the Monitoring Officer for governance of public law illegality behind the scenes in an ICB. One could write to the Chief Executive and suggest that if action is not taken within 14 days the person with the issue will resort to legal action, which will mean a Pre Action Protocol letter providing for another 14 days for a properly reasoned decision, such that legal advice will be required in any event, so would the CEO kindly ensure that the matter being raised informally at this point is prioritised?