Vice-chairman Karren Brady has said Slaven Bilic will remain the manager of West Ham following reports that he will not be offered a new contract.
Reports have also stated that potential replacements for Bilic are being lined up this summer.
Writing in The Sun, Brady said: "I have a two-word answer to people who are listing candidates for Slaven Bilic's job - shut up!
"We like our manager and we rate him, so we are planning to keep him. Those poison-penned pundits who say they know, don't."
West Ham have endured a difficult first season at the London Stadium, where they have been beaten seven times in the Premier League this term.
That has prompted speculation about Bilic's future, with the likes of Newcastle boss Rafael Benitez and Reading's Jaap Stam linked with the east London club in recent weeks.
"Our move to the London Stadium was always going to be testing for the players," Brady added.
"And if Slaven is the boss we believe him to be, he'll soon bring back the exciting style he brought to West Ham when we appointed him at the start of last season."