There are many universities and I am providing you the list of some good university of India and if you suggest your particular university I will provide more details about it.

Here are the university for health courses:

ASCI Hinduja Institute of Healthcare Management in Hyderabad

Clinical Research Education and Management Academy in Bangalore provides MBA – Healthcare Management.

Lovely Professional University in Jalandhar provides MBA (Hospital and Healthcare Management)

RP Inderaprastha Institute of Technology in Karnal provides PGDM- Healthcare Management.

Symbiosis Institute of Health Sciences in Pune provides MBA – Hospital & Healthcare Management.

T. A. Pai Management Institute(TAPMI) in Manipal provides PGDM-Healthcare Management

Welingkar Institute of Management in Mumbai provides Post Graduate Program in Healthcare Management.

Eligibility :
Graduates in all disciplines, particularly public health, nutrition and medicine
And the eligibility also depend the college you choose.