"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," ICC President Ehsan Mani said in a statement issued here.
The decision has allowed the tour to proceed, Mani said.
Mani also praised efforts of the Zimbabwe Cricket Union and the England and Wales Cricket Board for resolving the issue amicably.
"The commitment of the Zimbabwe Cricket Chairman, Peter Chingoka, and the England and Wales Cricket Board Chairman, David Morgan, has been critical to the resolution of the issue," Mani said.
The Zimbabwe Government had rejected applications of 13 English journalists to enter the country for covering the series of five one-day internationals between the two countries following which the tour was thrown into jeopardy.
Meanwhile, the England team, which stayed in Johannesburg, South Africa while the issue was being resolved in Harare, would fly to the Zimbabwe capital today.
England will play the full series but it was immediately not known when the postponed match, originally scheduled to be held today, would take place.
According to the new schedule, Sunday's second game will be the first in the five-match series.