Tissue segmentation in pathology images is crucial for computer-aided diagnostics of human cancers. Traditional tissue segmentation models rely heavily on large-scale labeled datasets, where every tissue type must be annotated by experts. However, due to the complexity of tumor micro-environment, collecting annotations for all possible tissue types is challenging, which makes the traditional methods ineffective in segmenting unseen tissue types with zero training samples. With the rapid development of vision-language models (VLMs), recent studies extend their powerful zero-shot capabilities to pixel-level segmentation tasks, where the model is trained only on seen classes but can perform tissue segmentation on both seen and unseen categories in the testing phase. However, these VLM-based zero-shot segmentation models still require substantial annotation efforts on seen classes. To attach desirable segmentation performance on both seen and unseen categories with limited labeled data, we propose AcZeroTS, a novel active learning framework for zero-shot tissue segmentation in pathology images. Specifically, AcZeroTS is built on a VLM-based prototype-guided zero-shot segmentation model called ProZS. We introduce a novel active selection criterion to select the most valuable samples for annotation on seen classes, which not only considers both uncertainty and diversity of unlabeled samples, but also ensures that the generated prototypes of ProZS can effectively summarize both seen and unseen classes during inference. We evaluate our method on two pathology datasets (TNBC and HPBC) as well as a natural dataset (Pascal VOC 2012), and the experimental results demonstrate the superiority of our method in comparison with the existing studies.