Portsmouth have confirmed they have offered new contracts to David James, Ricardo Rocha and Kanu.
Pompey have had a turbulent campaign and were deducted nine points for entering administration earlier in the season.
This resulted in their relegation from the Premier League, although they did show spirit to reach the final of the FA Cup.
They club may be £138million in debt, but goalkeeper James, defender Rocha and striker Kanu have all been offered new deals, as has Hermann Hreidarsson.
A statement on the club's official website said: "Preparations for Pompey's 2010/11 season are already under way, as the football club looks to build a strong squad capable of challenging for the Championship title.
"The football club can confirm it has offered new contracts to influential first-team FA Cup heroes David James, Kanu, Hermann Hreidarsson and Ricardo Rocha.
"It's hoped the popular quartet will bring a wealth of experience and strength to the Blues' side as they seek to return to the Premier League at the first time of asking.
"A number of Pompey's rising stars have also been approached with new deals to keep them at Fratton Park.
"Lennard Sowah, Matt Ritchie and Joel Ward have all been offered contracts, following their impressive breakthroughs at the end of the season.
"They are joined by fellow youngsters Marlon Pack and Tom Kilbey, along with reserve keeper Jon Stewart.
"Fratton favourite Linvoy Primus has also been offered a position at the club, following his retirement from football.
"And Pompey's coaching staff have identified a number of players in different positions that they would like to bring into the squad, with work ongoing in this area."
Meanwhile, a number of players have not been offered new contracts at Fratton Park and the loanees will return to their parent clubs.
"Loan stars Jamie O'Hara (Tottenham), Hassan Yebda (Benfica), Aruna Dindane (Lens) and Frederic Piquionne (Lyon) all rejoin their parent clubs," the statement continued.
"Anthony Vanden Borre will also return to Serie A side Genoa, but Pompey are working on a new loan deal that will hopefully allow the defender to be come back to Fratton Park for a further season.
"Angelos Basinas, Jamie Ashdown, Steve Finnan and OJ Koroma have all been released.
"Portsmouth FC would like to thank the departing players for their tremendous service to the club during their time on the South Coast."