The Vice-President of the Court of Protection, Hayden J, sent a letter on 26 November 2019 to other judges of the Court of Protection, reproduced here, in which he noted that:
One of my most surprising discoveries on becoming V.P. was that the Court of Protection did not have a clearly structured system for administration of appeals. The route by which cases came to be heard on appeal was haphazard and inconsistent. Some appeals simply got lost and others took an unconscionable time to reach a hearing.
The letter sets out the internal procedure for appeals, in particular, for appeals from Tier 2 (i.e. Circuit Judges) to Tier 3 (High Court judges).
The Practice Direction governing appeals, PD20A, can be found here.