Zouma made the switch from Stamford Bridge to the London Stadium in a £29.8million deal in the summer after seven years and 151 appearances for Chelsea.
The Frenchman has made an impressive start in east London but knows to expect a tough afternoon against his former employers on Saturday.
“It will feel special in a way because I've been there for so many years," said Zouma.
“I want to beat Chelsea because I want to beat everybody. I play for West Ham now and I'm very happy to be here. It's going to be a tough game as we know they have a lot of strength, but we have to use our strength to make them suffer."
West Ham remain in the top four despite a run of two defeats and a draw over their past three League games.
Zouma continued: “I mean, when you see the season we're having at the minute, I don't want to go ahead too much, but we can beat the top four and top-six teams and that's where we are at the minute – we can compete with everybody.
“That's what we want, to be a competitive team and playing in Europe every season. Obviously, it starts from Saturday. It's going to be a tough game, but we feel confident we can get points from that."
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