The centre-back has been with the Absa Premiership side for the past month.
"It would be my dream and an honour to join Aces and to play on the big stage," Ofentse is quoted as saying on Aces' official Facebook page.
"Aces are very professional and have a high work-rate and I've been warmly welcomed by everyone here."
L. Radebe, a former Bafana Bafana captain and centre-back, is regarded as one of South Africa's finest exports, having enjoyed a distinguished career with Leeds United from 1994 to 2005. The 45-year-old earned 70 international caps.