Harry Redknapp has dismissed suggestions of striker Kanu moving to Australia as a "lot of cobblers", but would not stand in the player's way if he wants to walk away from Fratton Park at the end of the season.
He admits it is something he and Kanu "would like to discuss".
And Redknapp said: "If he wants to go I wouldn't stand in Kanu's way. You don't want unhappy players and I've never tried to keep them here.
"But I think talk of Australia is just a lot of cobblers, though. I think he wants to stay here. The lad seems to be happy and I don't want him to go anywhere. He has been terrific for me.
"He is out of contract at the end of the season but I want him to stay here - and I think he wants to stay."
In fact, Kanu, 31, needs just two more first-team appearances this season - making a total of 20 - to activate a clause in his latest Portsmouth contract which entitles him to the option of another one-year deal.