The match was scheduled to begin at 9:30am but the play was called off around 3pm as persistent rain even did not allow toss on the day.
The Zimbabweans are still winless on their current tour to Bangladesh, losing all three ODIs against the hosts, and will play a two-match Test series in Sylhet and Dhaka in November.
The first Test will be held at Sylhet International Cricket Stadium from November 3-7 before the second Test at Sher-e-Bangla National Cricket Stadium in Mirpur from November 11-15.
This will be the first time that Sylhet venue hosts a Test match after its inception in 2013.
BCB XI team for warm-up: Abu Hider, Afif Hossain, Ariful Haque, Ebadat Hossain, Fazle Mahmud (captain), Mizanur Rahman, Mosaddek Hossain Saikat, Mosaddek Hossain, Nazmul Hossain Shanto, Nurul Hasan, Rubel Hossain, Shahadat Hossain (2) and Zakir Hasan.
Zimbabwe squad for warm-up: Hamilton Masakadza (captain),Tendai Chatara, Elton Chigumbura, Craig Ervine, Kyle Jarvis, Wellington Masakadza, Brandon Mavuta, Solomon Mire, Peter Moor,Tarisai Musakanda, Richard Ngarava, John Nyumbu, Brendan Taylor, Donald Tiripano, Sean Williams and Cephas Zhuwao.