Permissions
Variant Manager includes two permissions; One for importing products and variants and one for exporting.

These can be set on user groups in the Settings → Users section in Craft, or also on specific users in their Permissions tab. The two permission settings are :
Import products and variants#
Allows users to import products through the Variant Manager dashboard.
variant-manager:import
Export products and variants#
Allows users to export products from Craft Commerce’s product list or from individual products.