The 25-year-old has made 34 appearances for the Blues during the 2019-20 campaign, although he has only featured in one of his club's last six Premier League matches.
Zouma has not played a minute of league football since the restart last month, meanwhile, and appears to be down the pecking order under current head coach Frank Lampard.
According to TF1, the Frenchman has been offered to PSG 'over the past few days', and the Ligue 1 club's head coach Thomas Tuchel is said to 'appreciate' the defender.
The also report claims that Zouma, who has previously been linked with Tottenham Hotspur, could be available for around €30m (£27.1m) during this summer's transfer window.
PSG are set to lose veteran centre-back Thiago Silva on a free transfer ahead of next season.