Zimbabwe is in danger of being suspended from Test cricket after a revolt by the country's top white players forced two Test matches against world champions Australia this month to be cancelled.
Former Australian Test bowler Tim May, who is chief executive of the Federation of International Cricketers Association (FICA), said the ICC must investigate claims that Zimbabwe was ignoring cricket's equality and integrity.
"It is the strong position of FICA and its member player associations that the present Zimbabwean crisis is more than just a perceived dilution in the value of international cricket," May said in a statement in Sydney on Thursday.
"The real issue, and the issue that the ICC executive board should give ultimate priority to, concerns the values of cricket."
May said the core values of the game were stated in the ICC's 2001-2005 Strategic Plan and endorsed by its 10 Test-playing nations.
"These are the matters that the ICC June meeting must discuss, investigate and determine," said May, also head of the Australian Cricketers Association.
"The current dispute between the Zimbabwe Cricket Union (ZCU) and 15 of its players has been highlighted with allegations of immoral and unethical behaviour and allegations of discrimination of colour and region.
"The ICC Executive Board must be compelled to thoroughly investigate these claims."
Australia is in the midst of three One-day Internationals against Zimbabwe after the Test series was ditched over the the player dispute that seriously weakened the Zimbabwe team.