England team spokesman Andrew Walpole said after a players' meeting on Thursday afternoon: "I can confirm the team will fly to Harare at 1030 a.m. tomorrow."
England were originally due to fly on Wednesday but were told by the England and Wales Cricket Board (ECB) to remain in South Africa. Walpole said Friday's opening one-day match would be rescheduled.
"The ECB is committed to playing a five-match series," he said. "We will sort out the dates later."
ECB chairman David Morgan was told at a meeting in Zimbabwe with cricket officials that the bans had been lifted. "The whole incident is regrettable but it has been resolved," he said.
Richard Bevan, chief executive of England's Professional Cricketers' Association, told a media conference: "From the players' perspective the last 24 hours have been disappointing and have saddened the players."
ECB director of operations John Carr, who briefed the players, said: "We are delighted the decision has been fully reversed."
He added: "The tour has to take place to fulfil England's commitment to the (International Cricket Council's) Future Tours Programme. The goalposts were moved when accreditation was denied but we are back to where we were now."
Major Anyway Mutambudzi, a senior official at the department of information and publicity, told Reuters the 13 barred reporters had been part of a backlog of applications which had now been cleared.
EVERYONE CLEARED
"The confusion came initially from the fact that people had applied as a group rather than as individuals as is required by our law. We have cleared everyone," he said.
Earlier,
"Bona fide media organisations in the UK have been cleared, but those that are political have not. This is a game of cricket, not politics," George Charamba said.
The ICC welcomed the Zimbabwe government's change of heart.
"The non-accreditation of these cricket journalists by the Zimbabwe government was a very serious issue and the ICC welcomes the reversal of this original decision," said president Ehsan Mani.
Morgan and the ECB's deputy chairman Mike Soper met the chairman of Zimbabwe Cricket Peter Chingoka on Thursday morning to try to resolve the crisis.
Under the ICC's Future Tours Programme, tours can only be cancelled on the advice of a government or because of overriding security and safety worries.
Teams pulling out for any other reason risk a $2 million fine and suspension from the international game.
Top strike bowler Steve Harmison boycotted the tour before the squad was announced and several players, including captain Michael Vaughan, aired reservations before the latest crisis.
Relations between Zimbabwe and its former colonial ruler Britain have hit rock bottom since Mugabe launched a campaign of chaotic and often violent seizures of land from white farmers, many of whom held dual British citizenship.
Britain, accusing Mugabe of rigging his 2002 re-election, has spearheaded international sanctions against Mugabe, who in return says London has masterminded a campaign of economic sabotage and negative media coverage as the once prosperous Zimbabwean economy faces its worst crisis since independence.
