Unhappy fans unloaded against the order on Moody's Twitter and YouTube accounts. Australia's T20 captain Aaron Finch was among those to express astonishment at the decision, saying he loved Moody's work.
And former international Tom Moody tweeted: "Ridiculous…so short sighted. Rob has done a wonderful job in celebrating our game and keeping our memories alive."
Even Cricket Australia chairman Earl Eddings declared himself a Moody fan, and was unaware of the copyright drama.
CA released a statement saying the copyright claims had been made in error.
"The videos should be back up and running soon. We've got no plans to shut down Rob's old gold and will follow up on the processes around this," CA said.
Moody is believed to have footage of almost every match played in Australia for over 30 years.
Operating as Robelinda2, his clips have notched up millions of views. He has transferred material from old VHS tapes on to thousands of CDs.