While versions 8.x and earlier did not support silent or unattended installations of ArcGIS, as of versions 9.x and 10.x, and ArcGIS Pro, managed deployment has been supported.
For information on silently installing ArcMap, refer to ArcMap: Installing ArcGIS Desktop silently or, for versions prior to 10.3, see the technical articles in the related links section below. For information on silently installing ArcGIS Pro, see ArcGIS Pro: Localized and silent install options. For other, specific products, search the relevant web help sites.
Information on uninstalling ArcGIS products silently can be found in How to: Silently uninstall ArcGIS products.