Not sure about how the unfortunate events have affected foreigners wanting to receive flight training here - it is probably a little early to say.
However, at the moment all VFR flights are prohibited in the continental USA. Therefore, primary training and I would imagine instrument training is not happening. There are fears of some flight schools going under (posted on newsgroups - don't know how accurate this info is). I would think that this doesn't apply to larger ones. AOPA is working with the FAA to try to get VFR operations back. They are now saying that it is likely to be a phased approach, whatever that may actually mean.
Maybe this topic should be in another forum?