The Ivory Coast international left Crystal Palace on a free transfer last year, and he scored 10 goals and registered five assists in 43 appearances for Galatasaray during the 2023-24 campaign.
However, there is currently widespread speculation surrounding his future, with the 31-year-old said to be pushing to secure a return to the Premier League for the new season.
According to The Athletic, Leicester are 'working on' a loan switch for Zaha, with the Foxes determined to win the race for his signature.
Palace have also been linked with their former player, but it is understood that the strongest interest is currently arriving from the King Power Stadium.
Zaha scored 90 goals and registered 62 assists in 458 appearances for Palace, while his overall Premier League record, also including spells at Cardiff City and Manchester United, stands at 68 goals and 29 assists in 305 matches.
Wolves 'identify' Forbs as Neto replacement
Meanwhile, according to transfer expert Fabrizio Romano, Wolverhampton Wanderers have identified Ajax attacker Carlos Forbs as a potential replacement for Pedro Neto this summer.
Neto is currently being heavily linked with a switch to Chelsea, and his exit would be a big blow to Gary O'Neil's side.
However, according to Romano, Wolves have moved quickly to identify a replacement, with Forbs wanted by the Premier League outfit.
The 20-year-old made the breakthrough into the Ajax first team last season after arriving from Manchester City, and he managed two goals and four assists in 21 Eredivisie matches.
Forbs has also already featured on three occasions for his Dutch outfit this season in the early rounds of Europa League qualifying.
Celtic 'remain interested' in Bueno
Staying with Wolves, Celtic are allegedly interested in signing the English club's defender Hugo Bueno before the end of the summer transfer window.
Bueno, 21, has made 48 appearances for Wolves in all competitions, including 25 outings in all competitions during the 2023-24 campaign.
However, there has been speculation surrounding the Spaniard's future this summer, with his club believed to be willing to let him leave for the right price.
According to Football Insider, Celtic are showing an interest in Bueno, who arrived at Wolves from Spanish outfit CD Areosa in 2019.
The defender has been capped at Under-18s and Under-21s level by Spain, and he has featured on 42 occasions in the Premier League since breaking into the first team.