(for weird legal reasons it is all but impossible to train for an FAA PPL in the UK)
IO,
You can train in the UK for an FAA licence but believe the fun starts when you want to take your check ride.
The FAA wont licence any FAA examiners in the UK and hence you either have to go over to the USA and do it or there used to be visiting examiners a couple of times a year to UK but not sure if this practice still goes on.