England trio Robert Green, Matthew Upson and Carlton Cole have attracted interest from a number of clubs, while Scott Parker has also been linked with a move to Tottenham.
Hammers boss Zola needs to keep his star players if the club are to retain their Barclays Premier League status and he is seeking assurances from the Icelandic board over the long-term future of the club.
Hammer blow: Upson could leave Upton Park during the transfer window
Zola said: 'For me to talk about players who might come in or might go out will not help our situation.
'I don't like dealing with these things. I like working with the players on the pitch and try to make them happy to stay here.
'I will have an update next week. I think that we will have an important meeting and we will see what we can do.'
Zola is also hoping the board can sort out the ownership of the clubbecause new investors could provide finance to strengthen the squad inJanuary. The Italian added: 'It would be good for everybody - it wouldstop so much speculation.'
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