Actually, that's not true at all. Code review is not a replacement for automated builds and testing. That's what Continuous Integration is for. Let humans concentrate on what they do best (understanding and comment on code) and don't lose their time and patience with things that can be automated.
Projects often enforce that by running CI on code submitted for review and it cannot be accepted as long as a CI fails. It also reduces breakages for other devs of the builds of the code base.