AutoCAD Map 3D :: Shapefiles And ESRI Layer Color - Can It Be Remembered Upon Import?

I am not an ESRI user... strictly in the Map World, so I dont know..

Do ESRI shapefiles store layer color? If yes, can this be harnessed and remembered upon Map Import?

I have always just changed the ACAD layers upon import, but I have a client who is trying to import hundreds of layers and says that changing their colors would be incredibly time consuming, yet if he imports these files into ESRI, they remember what color their layer is supposed to be.