Blues legend Zola has been linked with a return to Stamford Bridge following the surprise dismissal of Luiz Felipe Scolari on Monday.
However, Sky Sports News' chief news reporter Bryan Swanson has learnt that Zola has personally reassured West Ham chief executive Scott Duxbury that he remains firmly committed to the Upton Park outfit.
Zola has said openly before that he owes the club a great deal of debt, although he will not comment publicly on the Chelsea link.
The feeling is that he is 100 per cent committed to West Ham and feels no need to comment on every story.
Senior West Ham sources have told Sky Sports News that there is no need for supporters to be concerned, as Zola will definitely not be lured from East London.
Since taking charge at Chelsea's capital neighbours earlier in the season the Italian tactician has earned praise for guiding the Hammers to eighth in the table.