The Zimbabwe national cricket team toured Australia in the 2000-01 season and played a series of limited overs matches in the Carlton Series which also involved Australia and West Indies.
Zimbabwe did not reach the final, which was won by Australia.
Zimbabwe was captained by Heath Streak. The team included the brothers Andy Flower and Grant Flower.
References
Zimbabwean cricket team in Australia in 2000–01 Wikipedia(Text) CC BY-SA