The 32-year-old full-back has played only six games for the Brazilians over the past two seasons and is yet to start a top-flight match in the current domestic campaign.
He has however been used far more in continental competition over the last couple of years and was an integral part of the CAF Champions League-wining side.
But Zwane feels he needs to be playing more regularly.
“I did hand in a transfer request,” he told the Star. “They exercised the option to renew based on the fact that I’m registered for the CAF Champions League and we don’t have numbers. It was something beyond my control.
“I need to play,” he continued. “I’ve made up my mind that I want to leave. Sometimes you have to be realistic. We are four at right back position.
“A player of my calibre doesn’t deserve to be on the bench. I’m not looking down at other players but I believe I should be playing regularly,” said the former Golden Arrows player.
“I’m 32 now and I still have more to offer. I’m disciplined. I don’t consume alcohol, I don’t smoke and I am not into clubbing. I love Sundowns but sometimes you have to think about your career. Sometimes loyalty doesn’t pay. I have to move so I can play.”
Back-up goalkeeper Thela Ngobeni echoed Zwane’s sentiments and also wants to quit the club.