No Nokia Asha 308 does not have the Flash Available. However, you can check all other comaptibilities here:
nokia.com/in-en/products/phone/308/specifications/">http://www.nokia.com/in-en/products/phone/308/specifications/
This type of phone does not have support for Adobe Flash Player technology. In fact, Adobe Flash Player was discontinued for mobile platform. It will soon be replaced with HTML5 technology.
