query on internationl students pursuing BSN degree/ job application after graduation

I am neither a citizen nor a permanent resident (green card holder). I am currently working in New York City on a H1B Visa. I am very much interested in pursing a Nursing degree (BSN). I found out all the information and decided to join a accelerated program as I already have a bachelors degree. However, I am not sure as to what happens when I finish my degree. Will the hospital here in US sponsor for my work authorization/permit so that I can work here in US ? I contacted several admission programs but none of them answered my questions. Some of them answered in the negative. Now am not sure if i should join this program ?

Are they any people on this forum who fit the above profile ? Are there any internation people here who are currently pursuing BSN degree (here in US) on a F1 student visa. If so please do reply.

thanks in advance