The Hammers have made a poor start to the Premier League season and reports have suggested that Zola has fallen out with chief executive Scott Duxbury and technical director Gianluca Nani.
But the Italian boss has now dismissed those reports.
“The squad is very good. I am very happy with the players I have got. I decided to have them and I am going to work with them,” he said.
“I have always said that what we’re doing here is something we are doing together. My relationship with Gianluca Nani and Scott Duxbury is wonderful. We are working very well together, as we said last year when we came together, and we are even closer.
“We have a strong spirit, and nothing will stop us from trying to achieve success.
“The points are not coming in the way we want, but we will respond on the pitch.
“Obviously we can certainly be better than what we are. I remain positive, because there is big potential.
“This is a moment where every single mistake is costing us very much.”