View archive can accept and store messages from any mail service that is able to successfully perform compliant email journaling.
GSuite provides a mechanism for compliant journaling, but is only available with their GSuite Enterprise Plan.
For all other methods, there is a method that is not fully compliant, but may very well serve your needs to store copies of sent emails in the archive. The options are listed below along with the GSuite Enterprise Solution, which is the compliant method.
***View archiving does not support POP with GSuite***