Hello @datatim456 , you should be able to use the Esri Geodatabase (ArcSDE Geodb Raster Dataset) Reader. If you add the Reader and expand the parameters, there will be a parameter for the connection file (see image below):
You can then click the ellipsis (...) beside the Tables parameter to access your data. Once your data is in FME Workbench, you can use the Tiler transformer to tile your input raster. Once you're satisfied with the results, the GeoTIFF Writer to write your results to your external drive. Hope this helps, Kailin
(P.S. If you would like to produce one file, per tile, you can use a Fanout).