The 18-year-old France youth international has also attracted attention from Anzhi Makhachkala, while Premier League duo Chelsea and Arsenal have scouted him over the past 12 months.
Currently on international duty at the under-20 World Cup with France in Turkey, Zouma revealed he's in no rush to leave his French employers, despite the reported interest.
Speaking to French newspaper L'Equipe, Zouma said: "Anzhi? I have heard some rumours but I know nothing else. I do not want to talk about my future. For now I will play in the World Cup and focus on the game against Turkey and then after we will see what happens."
Zouma emerged as a first-team regular for a St Etienne team that finished fifth in Ligue 1 last season.
And the player's agent believes he stands the best chance of developing quickly by playing first-team football in France.
Speaking to le10sport.com, the player's agent said: "If Kurt stays with St Etienne next season then he will continue to grow. He does not have a fierce desire to leave."
Zouma made 18 Ligue 1 starts for St Etienne last term, and helped the club to the French League Cup trophy.
But it doesn't look like he'll be heading to the Premier League this summer, and Chelsea and Arsenal may have to be patient if they still habour ambitions of landing the youngster.
Do YOU want to write for GiveMeSport? Get started today by signing-up and submitting an article HERE: https://www.givemesport.com/writeforgms