Following an underwhelming start to the season, the Blues parted company with Jon McCarthy last week. The club had failed to win in 14 home matches.
Player/coach Tom Shaw has taken interim charge and has already spoken of his desire to return to his original role.
Shaw hasn't applied but plenty of others have - and now the board will sift through the many applications as they look to make a decision, possibly next week.
Shaw is likely to remain in charge for this weekend's Vanarama National League game with promotion hopefuls Dover Athletic at the Crabble.
Chester chief executive Mark Maguire has been 'impressed' by the quality of the the candidates and told the Chronicle that they now have a shortlist.
"It's been a hectic few days," said Maguire. "It has been a combination of supporting Tom and the boys behind the scenes in their preparation for the games that have come thick and fast, but at the same time fielding all the applications that have come in.
"The quantity and the quality has made it harder work, but that's a positive..
"We received 120 what we would call serious applications and then there probably were about 300-odd not so serious," he added. We've started the process of shortlisting the candidates.
"Then it will be a case of scheduling interviews for the first part of next week, which will be down to the availability of the candidates.
"We will then interview with the view to making a decision by the middle of next week."
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