In recent years, translation and localization studies have started to include accessibility, and web accessibility in particular, as one of the key aspects to take into consideration when adapting a web product to another language and culture (web localization). This paper provides a comprehensive insight of the connections between these two fields and concepts and, above all, it discusses the possibility of transferring accessibility throughout the localization process. In particular, we analyze how the use of current localization and internationalization data exchange standards is connected to this notion of transfer, and how those standards may be capable of transferring accessibility qualities or information, or supporting localizers in their task. Finally, we present an analytical and pragmatic approach to explore this transferability challenge, which includes the study of the techniques proposed by the W3C to help web developers fulfil a set of success criteria that are included in the latest Web Content Accessibility Guidelines (WCAG) 2.1, in relation to their possible integration in localization and internationalization standards.