Ashes 2013-14: Joe Root & Steven Finn back 'fantastic' coach Andy Flower
But former England captain Geoffrey Boycott said the coach must decide on his future quickly so the side can plan ahead.
Batsman Joe Root has also offered his support for Flower.
"He has done a fantastic thing for English cricket over his career," said the 22-year-old. "He's been very good for my development as a player. It's been great working with him and hopefully that can continue."
Root also said the team should not look further ahead than the fourth Test in Melbourne, starting on Boxing Day.
"It's a massive game for us and we want to put a lot of things right," he said. "If we start looking too far ahead, things could slip away.
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