We consider warm inflation in the context of holographic cosmology. The weak and the strong dissipative regime are analyzed in the slow-roll approximation and within what is known as intermediate inflation. For an appropriate choice of the equation of state, the intermediate inflation is not only an exact solution in general relativity, but it is also in the holographic setup considered in this paper. Within this approach several dissipative and physically relevant functions are considered. We constrain our model using the latest Planck data. We conclude that three of the models analyzed are consistent with Planck data for some ranges of the model parameters. However, one of them is ruled out by the observations.