Description
Both the Input raster or feature zone data (in_zone_data in Python) parameter value and the Input value raster (in_value_raster in Python) parameter value are nonmultidimensional data.
Solution
If neither of the inputs are multidimensional, uncheck the Process as multidimensional parameter (ALL_SLICES in Python) and process the data as nonmultidimensional (CURRENT_SLICE in Python). If you are using a mosaic dataset that contains images collected at multiple times, depths, or heights, but was not created from netCDF files, before analyzing it in the Zonal Statistics tool, use the Build Multidimensional Info tool to create multidimensional information for the mosaic dataset.