What to do?
First, you should enable the languages you want support. Navigate to Configuration > System > Languages. (If the language you would like to use is not in the list, unfortunately we do not have it yet. However we are really interested in such a translation so if you can provide it, we offer a compensation in the form of a credit for your LiveAgent account. Please contact us in this case.)
When languages are ready, you have to create different chat buttons for different language support
Different buttons for different languages
It is convenient to create a special department for each language, so a specialized agent can work in the particular department in order to avoid any inconvenience caused by a language barrier that could happen to occur in case a different language speaking customer reached an agent who does not speak the language.