You can opt to use the standard ZoneMinder web console on your mobile devices using mobile browsers. Alternately, there are mobile apps available you can use:
ZmNinja - iPhone/Android/Windows/Mac/Linux app for ZoneMinder
zmView/zmViewPro - iPhone/Android app for ZoneMinder
Zoneminder, starting with stable version 1.29 (and development snapshot version 1.28.107) support a REST based API. mobile and XHTML skins are no longer actively maintained and will be discontinued after 1.29. Any mobile clients not using the API and relying on the skins will stop working. Mobile app authors who are still maintaining their code are encouraged to use the new API.