QB Issue Resolution:

QuickBooks Mac 2016 does support Sierra.  Be sure to run QuickBooks->Check For Updates after you update the OS (maybe before, too, just to be thorough).

Resolution for Issue 'OS Sierra final was released today. Does QB for Mac 2016 support the new OS? If not, when will a desktop version of QB for Mac be available that will run on OS Sierra?' available: Yes (Solved).
Source: Intuit Community forum.

OS Sierra final was released today. Does QB for Mac 2016 support the new OS? If not, when will a desktop version of QB for Mac be available that will run on OS Sierra?: this 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 issue yourself by looking for a resolution described below. If it is a complex issue or you are unable to solve the issue, you may contact us by clicking here or by using other support options.

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