The ex-Ajax Cape Town playmaker has been linked with a return to South Africa following the relegation of his club Sunderland from the English Premier League to the Championship.
Pienaar, 35, linked up with the Black Cats on a one-year deal in August 2016 after being released by Everton.
"We have a direct line. It's easy to talk to him," says City chairman John Comitis, who worked with 'Schillo' at the Urban Warriors prior to his move to Ajax Amsterdam in 2001.
"Listen, we don't discard anyone. We are not a youth development team, we wannna win silverware. If there is such a kind of player that we need to do that, we will consider him.
"He is a great player. We are just waiting to see what he is gonna do and what is his decision."