The 23-year-old moved from Roma to the Turkish giants in February of this year and has impressed as Okan Buruk's side won the Turkish Super Lig, scoring five goals in 10 league appearances.
A move to Istanbul has been the Italian's first foray outside of his homeland after spells with Inter Milan and Virtus Entella before making the switch to Roma in the summer of 2018.
According to Tutto Juve, Spurs are amongst a group of clubs interested in signing Zaniolo this summer, despite the player moving to Turkey only a few months ago.
The report claims that the attacker has offers in the Premier League from Spurs and Unai Emery's Aston Villa, with Serie A outfits AC Milan and Juventus also said to be keen.
It is understood that Galatasaray would prefer for Zaniolo to leave on loan next season instead of on a permanent deal - an arrangement Juve are believed to be favouring.
With a release clause of just under £30m, the Italy international could be a budget option as Ange Postecoglou looks to mould his Spurs side into one which can compete for European football next term.
CSKA Moscow 
FC Rostov 
Leicester 
Chelsea 
Valencia 
Betis 
Dynamo Kyiv 
Chornomorets Odesa 
Verona 
Inter 
Bayer Leverkusen 
FC Heidenheim 
Borussia Dortmund 
SC Freiburg 
VFL Wolfsburg 
Union Berlin 
Arsenal 
Nottingham Forest 
Everton 
Brentford 
Spartak Moscow 
Lokomotiv Moscow 
Rangers 
Dundee Utd 
Atletico Madrid 
Alaves 
Lens 
Marseille 
Ingulets Petrove 
Shakhtar Donetsk 
AC Milan 
Juventus 
ST Malo 
Bordeaux 
Manchester City 
Tottenham 
Eintracht Frankfurt 
Werder Bremen 
Girona 
Espanyol 
Feyenoord 
Heerenveen 
ST Etienne 
Montpellier 
Grenoble Foot 38 
Heart Of Midlothian 
Celtic 
Reims 
Lyon 
PSV 
Groningen 
Celta Vigo 
Barcelona 
Benfica 
Estrela Da Amadora 
Sparta Rotterdam 
AZ Alkmaar 
Southampton 
Liverpool