The Italian journalist claims that Ziyech, who has featured just once in the Premier League this season so far, is ready to return to his former club.
Ajax are on the verge of losing their Brazilian winger, Antony, on a potential €100million (£84.8m) deal, to Manchester United, and Ziyech is certainly a less risky replacement option.
The 29-year-old has proved to be successful in the Netherlands, where he spent most of his career, including five years at Ajax.
He also had his best season when playing for Ajax in 2018/19, in which he registered 21 goals and 20 assists from 49 appearances.
If Ajax had to choose someone to replace Antony, Ziyech would arguably be the first name on their list.
Di Marzio did not mention whether Ziyech is expected to join Ajax on loan or permanently, but according to Dutch outlet De Telegraaf, Chelsea have set an asking price of £37m for the winger.
It remains unclear whether Ajax would agree to such a demand, given Chelsea reportedly paid £33.3m for the retired Morocco international in 2020.
In terms of replacement, a recent report suggests Chelsea have reignited their interest in Crystal Palace’s Wilfried Zaha while still maintaining contacts over a potential deal for Barcelona’s Pierre-Emerick Aubameyang.