Andy Flower and Henry Olonga have been ordered not to make any more political statements during the World Cup.
Henry Olonga was dropped after one World Cup match
The Zimbabwe Cricket Union has written to the pair following the players' decision to wear black armbands against Namibia on 10 February to represent the "death of democracy" in their homeland.
"The issue is being handled internally," said Peter Chingoka, the ZCU chairman.
"Letters have been written to the two players instructing them to desist from wearing black armbands or taking part in any sort of political issues during the matches.
"We are not a political organisation."
Chingoka added that there had been no pressure placed on selectors to drop either player from the team.
Olonga was left out of the side after the opening match against Namibia.
And a report in the Daily Telegraph claimed Flower was on the verge of being dropped ahead of the Australia match on Monday, before several of his team-mates threatened to refuse to play.
However, Zimbabwe captain Heath Streak has rejected suggestions that Olonga was dropped for political reasons.
"No, that's not the reason he's not playing," said Streak. "Yes, he is available for selection.
"He played well in the first game but then all-rounder Andy Blignaut came back from injury and, with Henry being an out-and-out bowler, it made it a bit tougher to select him.
"He is bowling well and he could play a big role in the next few games. He's part of the squad, and it's the selection panel that select the side.
"Obviously we give them our advice and our thoughts, but the final decision is theirs."