I was not aware that Brazil has contracted the running of their country to EASA
Even the EU countries have not contracted the running of their countries to EASA (although EASA behaves as if they have).
EASA does not have the authority to close a flying school (or a coffee shop) in Brazil, or anywhere else
If there is a flying school in Brazil, training for the JAA/EASA syllabus, that school will have been approved by a JAA member country. The UK CAA has approved 6 or 7 US schools, for example, for PPL training and I think some CPL stuff (not any IR flying stuff though; that remains an EU FTO cartel).
EASA, acting via the authority of the EU, is forecast to interfere with these arrangements and these schools may be forced to stop offering JAA/EASA syllabus training. I'd think a huge amount of fuss will be kicked up over that though if they mess with the American ones, because they are pretty busy, mostly with students from India, etc.