Flexible IT landscapes and efficient management of resources are key issues for enterprises. In cloud computing, varying requirements are discussed at application and platform level. In contrast, variability at cloud infrastructure level is seldom discussed. We have identified several variability requirements at infrastructure level from customer perspective. From service provider perspective, we also highlight which technical means needed to be employed to manage the variability. For elaboration, we provide examples for variability requirements and solutions. We also show with the help of a case study that how we can provide and manage variability using the software configuration tool Puppet. In the end, we summarize our paper and provide an outlook for future work.