What do you think about the idea that it could be moved considering that, while an Ecumenical Council was what originally outlined the administrative set-up, even that Council made clear that it was not because of some immutable truth or apostolic tradition, but because of politics and culture:
So, while the argument could be made that another Ecumenical Council is needed before anything can be done, couldn't it also be argued that a pan-Orthodox Council (including Constantinople of course) could make a change while saying that they were not trumping the Ecumenical Canon or superceding it, but rather staying faithful to it by locating the Ecumencial Patriarchate wherever it can best prosper and administrate from?
Personally, I don't think the current EP administration would move even if it's entire existence depended on it moving, nor do I think it would be allowed to move even if it wanted to. I'm just curious what you think about the point from a theoretical p.o.v.
There is precedent for moving a see while the see maintains all its ancient rights and diocese; the Church of Cyprus was forced to move into the territory of the EP and it was allowed to remain autocephalous, and even took jurisdiction of the immediate area that it occupied. Once they were permitted to return to Cyprus, they did, and things went back to the way they were before.
The EP was given this option at the time of the population exchange. If I remember correctly, the Turks at first wanted him out (so they could also have an excuse to eject the Sultan), but there was still a sizeable flock in the City (even after the exchange), and the Turks told him he could take nothing - none of the relics, holy items, records, nada. All things taken into account, he decided to stay, and then when he got an inkling to leave, the Turks by that point wanted him to stay, and they restricted his movements and placed citizenship requirements.
SO theoretically the Patriarchate of Constantinople itself could be moved, and then restored to the City once it is able to be; the downside in that is that the pressures put on the Turks by the EP are all that keep the Churches, people, and Holy Sites safe, otherwise all would be confiscated, torn down, or "museum-ized."