Marseille are among a number of clubs willing to snap up the 22-year-old France centre-back who is keen to play regularly in World Cup year.
Zouma came back last season after nearly a year out with a cruciate knee ligament injury. He made a total of just 14 appearances, culminating in a start in the 4-3 home win over Watford.
Conte is keen to land either Juventus defender Leonardo Bonucci or Southampton centre-back Virgil van Dijk to strengthen his options going into next season.
But Zouma maintains he is not desperate to leave Stamford Bridge.
He said: “No. I’m very happy at Chelsea. I hear the rumours, it’s flattering. It means I’m a player people are looking at, but I’m not going to stop there.
“My objective is to stay at Chelsea. Next season, we’ll start from scratch, there will be a lot of games. The cards will be on the table. It’s up to me to work hard.”
Explaining his careful re-introduction after his lengthy spell out, he added: “I wanted to be careful about relapsing.
“Often, people say it takes six months, but I wanted to be really certain I could come back, and to have the knowledge that I wouldn’t be stopped in my tracks again. It was the right thing to do”.