The 31-year-old this week reaffirmed his desire to leave Carrow Road and has been linked with a host of clubs including the Hammers, Sunderland and Aston Villa following ex-Canaries boss Paul Lambert's appointment as Villa manager.
Reports claim West Ham have made the first move with a firm bid for Holt, who scored 15 Premier League goals last season.
But Norwich chief executive David McNally quickly denied the speculation.
He wrote on Twitter: "Just for the record, we have not received a £4m bid for Grant from West Ham as apparently is being suggested."
