Palace do own the academy and it’s pretty big 6 full size pitches 1 full size 3G pitch and 1 full size indoor pitch…it might not be as big as your woman’s hub but it’s 50 acres In total, the Crystal Palace Training Ground and Academy facility amasses over 50 acres, which considering that it's located within an area of South London that's only a short journey from the centre of the capital, is pretty impressive.
I've visited the new Palace academy several times and it is a decent set up. Certainly a lot better than West Ham or Fulham's for instance and bigger than Arsenal's.