The veteran midfielder is available after returning from his time in Canada with Toronto FC.
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A move to Lazio and a reunion with his former Napoli coach Maurizio Sarri has been mooted for Insigne.
And he told Sky Italia: "Transfer market? I'm calm, I still have a lot to give and I hope something can come of it."
Insigne also stated: "So many teams fighting for the Scudetto? It doesn't surprise me: Inter, Milan, and Napoli have great players.
"It will be a very close championship and they will be able to fight until the end, but I hope that in the end, Napoli will triumph."