Portsmouth's FA Cup hero Kanu is mulling over the offer of a new contract at Fratton Park.
The 31-year-old - who scored the winner in Saturday's Cup Final success over Cardiff - earned a new one-year deal by playing 20 games last season.
Pompey chief executive Peter Storrie told BBC Radio Solent: "The offer is on the table, and we are waiting for Kanu to come back to us.
"It is a good offer, and hopefully he will decide that he wants to stay."
Kanu joined Pompey in 2006 after spells with Ajax, Inter Milan, Arsenal and West Brom.
The Nigerian international has scored 19 goals in 69 games for Portsmouth.
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