I don’t use either, but I have always read that you cannot, but at least one user said they were online with Intuit for 2 hours and they finally got QBO to sync with ADP Run (whatever that is). See https://community.intuit.com/questions/786481-import-adp-payroll
However, read this:
Resolution for 'ADP Payroll issue: 'Can I integrate ADP payroll with quickbooks?' available: Yes.
The ADP Payroll issue or error code is a known issue in Quickbooks Online (QBO) and/or Quickbooks. Support for this issue is available either by self-service or paid support options. Experts are available to resolve your Quickbooks issue to ensure minimal downtime and continue running your business. First try to resolve the ADP Payroll issue yourself by looking for a resolution described in the article. If it is a complex ADP Payroll issue or you are unable to solve the issue, you may contact us by clicking here or by using other ADP Payroll support options.
For more information about resolving issues related to ADP Payroll in Quickbooks/QBO or to get support for the issue 'Can I integrate ADP payroll with quickbooks?', click the link below: