Topological semimetals are systems in which the conduction and the valence bands cross each other and this crossing is protected by topological constraints. These materials provide an intriguing test of fundamental theory and their exceptional physical properties promise a wide range of possible applications. Here we report a study of the thermoelectric power (S) for a single crystal of ZrSiS that is believed to be a topological nodal-line semimetal. We detect multiple quantum oscillations in the magnetic field dependence of S that are still visible at temperature as high as T = 100 K. Two of these oscillation frequencies are shown to arise from 3D and 2D bands, each with linear dispersion and the additional Berry phase expected theoretically.