Why should the PA have control of the Armenian and Christian quarters in the Old City? Because that territory was illegally annexed by Israel. Everything captured by Israel in '67 legally belong to Palestine according to International Law and all the countries in the world except Israel. If Israel gets to keep the Jewish quarters, that's a concession the Palestinians are willing to make. It's up to them, not Israel.
Hamas' Khaled Meshal met with Saeb Erekat in Qatar (Haaretz)