You also need to go to and approved flight school and cannot change training providers.
First part yes, second part NOT correct.
Certainly not every school can issue the I-20 (visa application form).
A school needs to be CFR Part 141 certified before it can apply for visa approval.
Therefore "approved" school.
You definitely can change training providers.
If you do this within
6 months of entering the USA, you do not have to leave the country to get another visa.
If you need to change after
6 months you need to return to your country of origin with the new I-20 from the second school and apply for a new visa.
Schools are required to transfer you if you so request.