The 30-year-old midfielder has established himself as an important part of Napoli's midfield, but negotiations over a new contract have reportedly stalled.
Tuttosport reports that discussions over an extension beyond 2027 have reached an impasse, opening the possibility of Anguissa becoming available to other clubs.
Inter Milan, AC Milan and Juventus are all monitoring the situation and would like to take advantage of the uncertainty surrounding his future at the Diego Armando Maradona Stadium.
Anguissa has been an established presence in Napoli's midfield and remains an important part of the squad, making the contract situation particularly relevant as the club considers its next steps.
For now, the Cameroon international remains under contract with Napoli until 2027, but the failure to reach an agreement over an extension has put his future under scrutiny.
A move within Serie A would give Inter, Milan or Juventus the opportunity to add an experienced midfielder without having to wait until the end of his current deal.
Napoli will therefore face competition from three of the league's leading clubs if Anguissa's renewal talks cannot be revived.