The Selhurst Park outfit have had a busy transfer window so far, signing the likes of Marc Guehi, Joachim Andersen and Michael Olise.
However, with seven more days remaining in the transfer window, Crystal Palace could make further additions to their squad.
The Eagles have lost Patrick van Aanholt on a free transfer this summer and left-back is one area they could look to strengthen in the final days of the window.
And PSG star Kurzawa has emerged as an option for Crystal Palace, who have been offered the chance to sign the left-back, according to French outlet Foot Mercato.
Crystal Palace boss Vieira is said to be open to the idea of signing the Frenchman, but it remains to be seen if the Eagles are prepared to pursue a deal for him.
Galatasaray and Lyon were credited with an interest in Kurzawa this summer, but failed with their attempts to sign him.
The France international joined PSG from Ligue 1 rivals AS Monaco for around £22m in the summer of 2015.
