We consider in this talk a large deviation principle for the occupation time of a one-dimensional zero-range process. A scaling limit for an interacting particle system is a central subject in probability theory and many important results have been established by S.R.S. Varadhan. As an example, Kipnis, Olla and Varadhan have proved a large deviation principle for the empirical density of a symmetric exclusion process. Invoking this result, Landim has proved a large deviation principle for the occupation time of the one-dimensional symmetric exclusion process. In this talk we examine how to generalize Landim's method in order to show a large deviation principle for the occupation time of the one-dimensional zero-range process. This talk is based on an ongoing work with Insuk Seo.