Zaniolo is barely five months into the four-and-a-half-year contract he signed when he joined Galatasaray from AS Roma back in February.
The 23-year-old scored five goals in 10 Super Lig appearances to help Galatasaray claim the title after joining.
Zaniolo left his native Italy after falling out with AS Roma fans but is already considering a return to the Serie A with Juventus.
"I'm open to everything" Zaniolo told La Gazzetta dello Sport.
"Starting from the possibility of not moving and staying at Galatasaray, where I am great. Yes, Juve is Juve, even without the Champions League or international cups. As a kid I always supported the Bianconeri, my idol was Pogba.
"I'd like to play for Juve. We're talking about a great club. I repeat: if there's an opportunity that makes all three of us happy – Galatasaray, me and Juve – well done. Otherwise I'm fine in Turkey. I don't create expectations, however it goes, it will be fine."
Juventus will play in the Europa Conference League next season after a 10-point deduction for financial misappropriation saw them finish seventh in Serie A.
