ICC president Ehsan Mani explained that Speed has travelled to Harare for talks with the ZCU.
"There is no suggestion from the ICC that Speed is in Zimbabwe as a mediator or arbitrator in the on-going dispute," said Mani in a release.
"Malcolm has travelled to Harare to obtain a better understanding of the issues. He is also there to explain to the directors of the ZCU and other important stakeholders in Zimbabwe the concerns of the international cricket community relating to the impact an ongoing dispute may have on the integrity of Test cricket," he said.
Fifteen white cricketers of the Zimbabwe team are 'rebelling' against the ZCU following the sacking of Heath Streak as national captain.