The 24-year-old has been heavily linked with a move away, but has insisted in a recent interview, per Calciomercato, that he "does not know anything" about the possibility of a move away from Naples.
The defender enjoyed an impressive campaign last season, playing 35 times in Serie A and featuring in all six of Napoli's Champions League games under outgoing manager Maurizio Sarri - who has been heavily linked with a move to the Blues too.
Speaking about this, and his own personal future, Hysaj recently said: "The farewell of Sarri is not good news given that I've been with the coach for six years.
"But Napoli have made a good choice with Ancelotti who is an excellent coach and we know how many titles he won.
"Future? They are just rumours, I do not know anything and I only read what is written."
A second place finish saw Napoli qualify for the Champions League once again, which could be a big factor in ensuring that Hysaj remains with the club beyond this summer.
The potential to work under former Real Madrid and Bayern Munich manager Carlo Ancelotti will also be a huge factor, as the club look to reduce the narrow gap to Italian champions Juventus next season.