Australia regained the Ashes after beating England by 206 runs in the third Test to take a 3-0 lead in the five-match series.
''I think that can be true,'' ECB chief executive David Collier told BBC Radio Five when asked if coaches have a shelf life.
''But we're in the middle of a series still. We've got two important Test matches in Sydney and Melbourne, we've then got the One-day series, we then go into the World Cup,'' Collier added.
''After the World Cup is the time we will truly reflect on where we go for the next four years. We tend to work in four-year cycles.'' Fletcher has been widely criticised for England's lacklustre performances and for selecting left-arm spinner Ashley Giles ahead of Monty Panesar for the first two Tests.
Wicketkeeper Geraint Jones was also brought back for the series but has been short of runs and questions have been asked about England's lack of preparation time.
The Times newspaper on Monday said Fletcher tried to resign as an England selector several months ago but was talked round.
The newspaper said Fletcher believed it would be better he were not party to crucial decisions such as whether Andrew Flintoff or Andrew Strauss should captain the side in the absence of the injured Michael Vaughan.
Flintoff, meanwhile, reiterated his desire to continue as skipper.
''I am still proud to be England captain and I always will be,'' Flintoff told reporters after the match in Perth.
''It has had its moments. It's a job when I took it on I realised that there are a lot of good things, but it has its downsides and this is one of them.
''Being 3-0 down and having lost the Ashes is not a great feeling... but I've no regrets whatsoever. I've wanted to do it since I was a kid.''