Hello jyothi!!
1.TATA
2.IISER
3.JNU
4.christ university
5.Amity university
6.BITs these are some of the best institutions offering integrated program of MSc and PhD in zoology. Hope this helps you,good luck!!

HEY

There are many good colleges(Both Government and Private)where you can go for Integrated MSc+Phd in Zoology.I am mentioning some of them are

Government Colleges:-

1. IISER(INDIAN INSTITUTE OF SCIENCE EDUCATION AND RESEARCH)
2. TIFR(TATA INSTITUTE OF FUNDAMENTAL RESEARCH)
3. JAWAHAR LAL NEHRU UNIVERSITY,Delhi
4. Savitribai Phule University ,Pune
5. The Maharaj Sayajirao University Of Baroda,Baroda

Private Colleges:-

1. Amity University
2. BITS
3. VIT

Hope This Helps

Best Of Luck!

Hello jyoti, hope you are doing well!
For integrated msc course, here is the list-
Christ university, banglore
Mount Carmel college, banglore
Indian Institute of science, bangalore
University of Mysore
University of mumbai
For phd courses , here is the list-
University of Delhi
Savitribai phule, pune
Jamia milia islamia, new delhi
University of Mysore
C. V Raman university, kota
Indian Institute of technology, Guwahati
Hope this was helpful.

Hello Jyoti

You can apply for admission in following Institutes in Mumbai, Pune and Bangalore

1. Tata Institute of Fundamental Research,

2. IISER, Pune,

3. JNCASR, Bangalore

4. IISc, Bangalore

For more information : https://university.careers360.com/colleges/list-of-zoology-universities-in-india