As per the information available there are quite a good number of institutes in Tamil Nadu which offers the course of Part PhD but in Telangana no such information is available.

Some of the institutes in Tamil Nadu offering Part Time phD in Commerce is provided below:

PSGR Krishnammal College for Women, Coimbatore

Sri Krishna Arts and Science College, Coimbatore

Bishop Heber College, Tiruchirappalli

Vivekananda College of Arts and Sciences, Tiruchengode

Dr GR Damodaran College of Science, Coimbatore

MGR College, Hosur

Government Arts College, Dharmapuri

Government Arts College For Men, Nandanam

For more colleges, visit the link below:

https://finance.careers360.com/colleges/list-of-commerce-colleges-in-india?state=Tamil%20Nadu&study_mode=part%20time&degree=Ph.D&branch=Commerce

To know more about the career in Commerce, visit the link below:

https://www.careers360.com/courses/commerce-course

I hope this answer helps. All the very best for your future endeavors!