The development, which would reshape skyline with a 78-storey skyscraper, must return to a planning panel.
The Northern Care Alliance runs Salford Royal, Royal Oldham, Rochdale Infirmary and Fairfield General.
But three other MPs - John McDonnell, Apsana Begum and Zarah Sultana - remain suspended.
People living in Eccles say they have not received any postal deliveries for a month.
