The ZCU said the 15 cricketers who were unavailable for selection will be at practice with effect from April 30.
15 rebel white players are examining a proposal from the Zimbabwe Cricket Union aimed at ending a the ongoing dispute.
A ZCU statement on Thursday said Hogg, who took up his post in 2002, would leave on August 6.
Peter Chingoka denied suggestions that Flower had faced the sack over human rights protests.
The plan calls for a three person tribunal with one person nominated by the ZCU, one by the players and they would chose a chairperson.
If Zimbabwe agrees to the tour it would be the first by a Test playing nation to Pakistan since militants attacked the Sri Lankan cricket team in Lahore in March 2009.
Vince Hogg, the ZCU's managing director, said the mediator was Much Masunda, a professional arbitrator in Zimbabwe.
A ZCU statement on Monday said the players had violated a 21-day breach clause in their contracts by not returning to work by May 7.
20-year-old Tatenda Taibu will take charge for Zimbabwe's home two-Test series against Sri Lanka in two weeks' time.
South Africa have restored cricket relations with Zimbabwe, Cricket South Africa said on Friday. A CSA statement said the decision had been made at a board meeting attended by Zimbabwe Cricket Union president Peter Chingoka and chief executive officer Ozias Bvute. Last year CSA decided to suspend bilateral relations with the ZCU because of the deteriorating political and economic situation in the country.
Sri Lanka's tour of Zimbabwe has been cancelled due to 'issues facing Zimbabwe Cricket', said SLC Secretary Nishantha Ranatunga on Friday.
Pakistani cricket authorities are unwilling to host a depleted Zimbabwe side for a series of ODIs later this year.
The Zimbabwe players in dispute with the Zimbabwe Cricket Union have withdrawn from the process set up to resolve issues between the two parties, the ICC said.
The lawyer for the sacked players said the dispute with the Zimbabwe Cricket Union would be taken to the ruling body.
The ICC report prepared by India's Solicitor General Goolam Vahanvati and South African High Court judge, Steven Majiedt, found no evidence of racism within the Zimbabwe Cricket Union.
Trevor Gripper, Sean Ervine and Ray Price have also been included in Zimbabwe's 17-man squad for the first Test against Sri Lanka.
The Zimbabwe A team named for a two-day match against Australia in Harare did not include any of the 15 white rebels.
Zimabawe ask PCB for financial incentives for touring players.
Zimbabwe's cricket team has offered to tour Pakistan to raise funds for the victims of the country's massive floods, despite the suspension of foreign visits following a militant attack last year.
Former ICC president Malcolm Gray says Malcolm Speed's premature exit as the CEO of cricket's world governing body smacks of racial bias and shows that the game's management is being increasingly influenced by money and power.
England could lose the right to host the twenty20 World Championship next year if it continues to deny visas to Zimbabwe Cricket Union (ZCU) officials, ICC president-elect David Morgan has warned.
South African high court judge Steven Majiedt, on the ICC panel, blamed "the inflexible attitudes of both parties."
The breakthrough was made during a meeting between the 15 rebel players and Much Masunda, a professional arbitrator.
"I do not think that other countries should be playing Test or one-day cricket against Zimbabwe," the former Zimbabwe captain said.
The ICC said it will protect the interests of the game while, at the same time, respect the sovereignty of the ZCU in dealing with the specifics of the dispute.
The rebel 15 say he ZCU has until close of business on Tuesday to agree to arbitration, failing which the players say they will walk out again.
The 15 rebels boycotted practice and made themselves unavailable for selection after Heath Streak's tenure as captain ended on April 2.
13 leading players, all of them white and including former captain Heath Streak, refused to play in the one-day and Test series after a row over selection policy.
Zimbabwe's rebels will renew their boycott if the board does not agree to arbitration on the captaincy and other concerns.
Zimbabwe will tour England this year confident that England will honour their planned tour of the southern African country in 2004, Zimbabwe Cricket Union (ZCU) managing director Vince Hogg told the BBC.
Zimbabwe Cricket Union has approached the International Cricket Council for a loan to bail the board out of a financial crisis, which has also put the Pakistan team's tour to that country in serious doubt.