Former England coach Peter Moores says Andy Flower should continue to lead the team - as long as he remains motivated.
Flower has yet to decide his future after England surrendered the Ashes to Australia with two matches to play.
"We have two Tests and I am hungry to do well in those," Flower said. "That's as far as I am looking at the moment."
Moores, who was succeeded by Zimbabwean Flower, told BBC Radio 5 live: "If he's hungry, he's good enough. There's no doubt about that."
The Lancashire coach, who was in charge of England from April 2007 to January 2009, added: "He's the same as the players, you've got to have a hunger and desire."
England had won three successive Ashes series under Flower. The 45-year-old also guided the team to victory in the ICC World Twenty20 competition in 2010 and to the top of the Test rankings a year later.
Asked about his future, Flower said no rash decisions would be made.
"I'm always very hungry to deliver my best as part of the England cricket group - and that hunger does not dissipate at all," he said.
He also said he would meet with captain Alastair Cook and England's management to discuss targets for the rest of the series.
"We need to decide whether we're merely focusing on these two games or looking further and exposing other players," he said.
"I want to meet with our coaches. I need to meet with Alastair Cook. I need to meet with the selectors as well."
With England supporters perhaps fearing a repeat of the 5-0 whitewash in 2006-07, Flower's side face Australia in Melbourne on 26 December before the fifth and final Test in Sydney on 3 January.
Following that emphatic defeat almost seven years ago, Duncan Fletcher remained as coach before resigning after the 2007 World Cup, when England finished fifth in the Super Eight phase and failed to reach the semi-finals.
Flower, who relinquished control of England's limited-overs teams to Ashley Giles last year, added: "My desire now is to prepare this team for Melbourne and Sydney and ensure we are competing to win those Test matches.
"I don't really want to look too much further than that because I think my responsibility is to focus on those two games."
Former England opener Geoffrey Boycott urged Flower to make a prompt decision so the team could focus on planning for the 2015 Ashes series.
"Andy Flower, are you going to be here next year?" asked Boycott. "Are you staying or going? If you've had enough, go now."
England set an unwanted record during the current series when they became the first team to face a target of more than 500 in three successive Tests.
Asked about being so comprehensively outplayed, Flower admitted there were issues to be addressed.
"Without a doubt I have to look at how we prepared and the decisions we made - and certainly that I've made," he said.
He faces a decision about wicketkeeper Matt Prior ahead of the next Test.
After making only 107 runs in six innings and guilty of some errors behind the stumps, the vice-captain's place in the team is under scrutiny.
"It's a possibility, of course," said Flower. "Matt Prior has been an outstanding cricketer for England during a second phase of his English career. But like all those positions, we have to review them."