Part Time

In this case you can join Executive course of the college. I think this the best thing or you can talk to the college admission office.

Mostly there are no colleges which offer ohd in management in chennai. You can still look for other options below.
https://engineering.shiksha.com/phd-courses-in-chennai-categorypage-2-68-1-0-0-64-123-2-0-none-1-0

Amrita school of Business Bangalore campus offers an executive MBA-MS course. The classes are held on Saturdays and Sundays. Please do visit the following link to ascertain your eligibility and to find out about the application process
https://www.amrita.edu/program/emba-ms-management-university-buffalo-usa

FMS Delhi is best option.

Welingkar, Spjain, Sydenham, Kjsomaiaya, Nldalmia, MET, IES are some of the good colleges.
https://www.shiksha.com/mba/colleges/part-time-mba-colleges-in-mumbai-all

international students will not be accepted for part time course. First you have to get a job and go to Singapore for work.
instead you can do masters in avionics or airport management course in UK. you can register for pilot training simultaneously. There are courses offered with pilot training also.

International students will not be accepted for part time courses. You have to take up full time course to get the student visa to enter into Singapore. You may not have aerospace or aeronautical courses in Singapore. you can try in Ireland where you will get up to 50% schorlaship in Limerick University