Last year, Zaha made the decision to end his long-term association with Crystal Palace to take on a new challenge with the Turkish giants.
The Ivory Coast international penned a three-year contract and he has since gone on to make a positive impression with the defending Super Lig champions and current leaders.
A total of 10 goals and four assists have come from 19 starts and 14 substitute outings, several of the latter coming within the last month.
However, Zaha did start in a surprise 2-0 cup defeat to Fatih Karagumruk last week, before not being involved in the 1-0 victory over title rivals Besiktas at the weekend.
A situation has now arisen where it is unclear whether Zaha will remain playing under Okan Buruk in the long term, naturally leading to speculation of a return to English football.
According to transfer expert Ekrem Konur, who was speaking on X, there are at least four Premier League clubs who hold an interest in his signature.
West Ham United, Wolverhampton Wanderers, Fulham and Everton are all said to be monitoring the situation in the event that they can negotiate a deal with Galatasaray.
From Galatasaray's perspective, they are in a position where they can make pure profit on Zaha and substantially boost their financial position in the short and long term.
No asking price has been suggested for the versatile attacker, yet a multitude of teams may be willing to add a player to their ranks who has 68 goals and 43 assists from 305 games in the Premier League during his career.
Of the interested clubs, London-based West Ham and Fulham may be deemed most attractive by Zaha, the player having spent all of his career in England's capital aside from brief stints at Manchester United and Cardiff City, as well as his time in Turkey.
West Ham will be in the market for attacking additions having allowed Pablo Fornals and Said Benrahma to leave in January without signing a direct replacement for either.
Wolves may require an alternative to Pedro Neto, should they cash in on the Portugal international, but Everton's interest is dependent on their financial situation and whether they are able to avoid relegation to the Championship.