Call center experience is considered in the BPO/call center industry only.
If you are looking for a change, you need to capitalize on your excellent communication skills, coupled with voice and accent. Try looking for a trainer's role as a voice and accent trainer. There are loads of opportunities in the market. Your call center experience will definitely help you.
Try to move to the training and development team within your company.
In case of no opportunities, at least get mentored by a trainer to enhance your training skills.
If you don't wish to work in night shifts, you might have to come out of the BPO industry and try to start working in smaller organizations as a VnA trainer (Voice and Accent Trainer) and slowly move on to recruitments. Again, your communication with different clients in your call center job will help you. Thus, you can move to your desired role. You will have to adapt to culture change, facilities, paycheck, etc., which depends on one's attitude and adaptability. Trust me. It's not easy, but it's not tough either.
Well, in case you have a Master's degree in Marketing or HR, you need to market yourself with your communication skills, fluency in English, and your degree.
I am sure you are very well aware that communication skills don't mean good English and a nice accent. It depends on how one can communicate to convince others and come to a win-win situation.
End of the day, Change is something one should be adapting. Let me know in case you need anything.
Good Luck.
Sherry