Familiarize yourself with the phonetics of Alsatian. Alsatian is written with the Latin alphabet, though its pronunciation varies somewhat from that of English. Alsatian also includes umlauts and accents over the letters "u", "o", "a" and "e" to indicate different pronunciations. Look on the website Omniglot for a chart of the alphabet as it is used for Alsatian.
Take a course in standard German. There are more resources for learning standard German than there are for learning Alsatian. Alsatian is similar enough to standard German that it will benefit you to begin formal study of German and go on to practice the Alsatian dialect with native speakers. You can find books, audio materials and online courses for English speakers that will teach you basic German phrases and pronunciation. You can also take a German course at a community college, adult education center, university or through a private tutor who can teach you in English.
Find a language partner. The websites LiveMocha and MyLanguageExchange offer courses in languages and the opportunity to meet language partners all over the world. These websites are free to join. Set up a profile indicating that you would like an English-speaking partner to help you learn Alsatian. As these sites do not offer Alsatian as an option, indicate in your profile or search options that you would prefer a partner from Strasbourg, as that is the largest city the Alsace region. Set up times to chat online or speak on Skype.