Reports have claimed the West Ham boss is prepared to listen to offers for Javier Hernandez, Andy Carroll, Diafra Sakho and Andre Ayew this month.
The quartet have notched a paltry 11 Premier League goals between them so far this season.
Sakho, who tried to join French club Rennes in the summer only for a move to fall through, has been linked with a move to Crystal Palace.
But Moyes said: “I’m not aware of that at all.
“I know there has been talk of it, but Diafra is injured so I can’t give an update on it.
“There has been talks, everyone has been aware of that for quite a long time here, but we are more than happy to keep Diafra. We like him and there is no problem if he is still here.
“I don’t want any of them to go. We need to add to our squad. My intention is not to let anyone go.
“What I will say is we have four or five strikers and the competition is tough for all of them. But I’m happy with that. It would take an awful lot of money in this window to prise them out.”
Colchester will hand late fitness tests to Ryan Jackson and Brandon Comley prior to their clash with Yeovil.
Arsenal secured their place in the quarter-finals of the Europa League following their 3-1 defeat of AC Milan at the Emirates Stadium on Thursday.
Danny Welbeck scored twice against AC Milan to toast his England recall by sending Arsenal into the last eight of the Europa League.
Ipswich striker Joe Garner will not play again this season after it emerged he suffered a fractured skull against Sheffield United last week.