Problems at ZC led to the resignation two weeks ago of national team captain Tatenda Taibu, who teamed up, along with all other contracted national players, with the country's seven provincial chairmen in a bid to have Chingoka sacked and Bvute suspended.
ZC vice-chairman Ahmed Ebrahim hosted the meeting, and dubbed the demands as "the only way forward". A further meeting of at least the 40 attending here Monday will meet again Wednesday to consolidate their position.
"We half expected Chingoka and Bvute to turn up and declare our meeting invalid, but they didn't do so. We'll see if they come to the next one," Ebrahim told AFP on Monday.
Ebrahim said the players had insisted during the three-and-a-half hour meeting that "they would not play for Zimbabwe if, in some way, Chingoka and Bvute regained control.
"But they would commit themselves to us. This means they will practice and train ahead of the Asia Cup tournament in Bangladesh during January."
He added: "With the overall strength of the turnout, we feel we can bring about recovery of Zimbabwe cricket, even though the finances have been reduced to dire levels, and even though it will take a long time.
"This is a start, and we hope we can gather growing support, not least from TV organisations, sponsors and many backers.
"We have an awfully long way to go. But 200 employees are relying on us, as well as the great number of cricket supporters in this country. We are in a period of great change," Ebrahim said.