Last summer, the winger decided to end his long-term association with Crystal Palace to move to the Turkish giants on a free transfer.
Ten goals and four assists came from 36 outings in Super Lig and the Champions League, while Galatasaray were able to defend their top-flight crown, yet it has been alleged that they must now reduce their outgoings by getting Zaha's wages off the books.
According to The Mirror, Palace are among the clubs that are interested in bringing Zaha back to the Premier League.
West Ham United and Wolverhampton Wanderers are also said to be admirers of the 31-year-old, who is said to be available for a 'nominal' fee.
The Ivory Coast international still has two years left on his contract, which may prove to be a hindrance to Galatasaray.
Southampton to miss out on Clarke
Meanwhile, Southampton are allegedly likely to end their interest in trying to acquire the services of Sunderland winger Jack Clarke.
The 23-year-old is an obvious option for Premier League clubs having contributed 15 goals and four assists from 40 appearances in the Championship during 2023-24.
Sunderland are also said to be open to a sale for the right price, yet it appears that admirers of the Englishman are against meeting that valuation.
As per The Sun, Southampton have no intention of paying the set fee of £18m for Clarke.
With just two years remaining on his contract, though, Sunderland may have to be open to a change of stance at some stage of the current transfer window.
Leicester chasing Paraguayan winger
Leicester City - another newly-promoted club - are reportedly tracking another wide player in the form of Ramon Sosa.
Wolves were linked with an approach for the Paraguay international last month having been left impressed with his progression with Talleres in Argentina.
However, it appears that they have not followed up their initial interest, seemingly opening the door for another club to edge them out in the race for his signature.
According to The Sun, Leicester have been in discussions over negotiating a deal for the 24-year-old.
The possibility of a £15m deal is said to be on the table for a player who has contributed seven goals and six assists from 21 appearances this season.
Sosa is currently at the Copa America with Paraguay, where he has accumulated 43 minutes across outings versus Colombia and Brazil, providing one assist.