Access to detailed variant data is key to inform and verify the interpretation of genomic data. Clinical laboratories can play a significant role in sharing patients' data through public variant databases. To facilitate data sharing, various public databases, such as ClinVar and DECIPHER have been established, which accept data submission from laboratories, clinicians, researchers, and patients. Despite clear benefits to sharing, questions may arise about the adequate form of consent to be obtained from patients when sharing data from their clinical tests through public databases. In this paper, we provide an overview and critical analysis of the relevant consent policies of the major public databases, and of the consent forms of clinical laboratories that share variant data via ClinVar.