The Italian flew to Sardinia yesterday morning and today, after reflecting on the situation, has decided to stay.
'I am determined to carry on,' said Zola from his Mediterranean retreat. 'Losing on Saturday was emotional for everyone but I know we can turn it around and we have the ability to achieve our objectives.'
Zola's team was subjected to heavy criticism from David Sullivan, the club's joint-chairman, who issued an open letter to fans on the club's website last Wednesday and reproduced in the club's programme on Saturday.
But Zola added: 'The owners have backed me and I am grateful for that. My only thought for now is to keep this club in the Premier League and that remains my goal.
'I'll give everything I can to make this happen between now and the end of the season.
"I have had time to think and we will have to work harder than we have before. I know we can get the results we need and it is just a question of making it happen.
'The performance was better on Saturday but it is still not the level we should be at. We can, and will, do better as a team.'