Michael Manuello is due in London this week for crunch negotiations over Giroud's future at the Emirates Stadium.
Zaha's spellbinding form for the resurgent Eagles has attracted interest from what Hodgson calls "so-called bigger clubs".
Danny Ings has returned to full fitness since recovering from two lengthy injury setbacks in the last two years. He has made two appearances in the Premier League this term.
Manchester City are the latest club to join the chase for Crystal Palace's Wilfried Zaha. Arsenal and Chelsea have been previously linked with the former Manchester United man.
Ivory Coast international Zaha has scored four goals in 12 Premier League appearances for the Eagles this season.
Adrian has ruled out the possibility of leaving West Ham in January amid speculation linking him with Newcastle and Crystal Palace.
Toffees boss Sam Allardyce signed Dutchman Van Aanholt for Crystal Palace for around £14m in January, and has confirmed his desire to recruit a left-back next month.
Christian Benteke missed a stoppage time penalty against Bournemouth on Saturday and Roy Hodgson admits it could damage Palace's survival hopes.
Timothy Fosu-Mensah could make a premature return to Manchester United in January as Crystal Palace target a six-month loan swoop for out-of-favour Liverpool striker Danny Ings.
Crystal Palace chairman Steve Parish wishes Sam Allardyce every success in his new job, although wishes Everton "weren't trying to nick our goalkeeping coach".
Live coverage as Leicester City host Tottenham Hotspur in the Premier League as Crystal Palace travel to arch-rivals Brighton.
Crystal Palace have no intention of selling Wilfried Zaha during the January transfer window amid interest from Arsenal.
Wilfried Zaha is likely to receive attention during the January transfer window after playing an integral role for Crystal Palace since returning from a knee injury.
Mirallas and Schneiderlin were reportedly sent away from training before the international break but Unsworth has come out in support of the pair.
Niasse has scored five goals for Everton in all competitions this season after fighting to win a place in the first-team.
Crystal Palace boss Roy Hodgson believes Chelsea will not have the option to recall Ruben Loftus-Cheek in January if he is playing regularly at Selhurst Park.
Christian Benteke is set to return for Crystal Palace this weekend against Everton but Ruben Loftus-Cheek is a doubt due to a back spasm.
Willian believes Loftus-Cheek, 21, has the quality to play for the Chelsea first team after the midfielder impressed on England duty.
Wilfried Zaha has been advised to consider a move to Arsenal where he can thrive under Arsene Wenger.
England boss Gareth Southgate has hinted Ruben Loftus-Cheek is in his future plans after admitting he will allow the midfielder to achieve full fitness.
Wilfried Zaha is 'important' to Crystal Palace says midfielder Yoahn Cabaye amid interest from Premier League rivals Arsenal.
Zaha's stock has steadily risen over the past 12 months but Parlour is not sure if the Ivorian would be an adequate replacement for Alexis Sanchez.