Intuit holds your data for one year after you cancel a subscription.  In order to run your year end payroll forms you will need to reactivate it.  See this:

http://payroll.intuit.com/support/kb/1001436.html

Resolution for 'cancel a subscription issue: 'If I closed QB Essential and Payroll subscriptions now, could I access year-end documents like W2’s for employees when available in Jan. 2017? If so, how? Thank you.' available: Yes.

The cancel a subscription 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 cancel a subscription issue yourself by looking for a resolution described in the article. If it is a complex cancel a subscription issue or you are unable to solve the issue, you may contact us by clicking here or by using other cancel a subscription support options.

For more information about resolving issues related to cancel a subscription in Quickbooks/QBO or to get support for the issue 'If I closed QB Essential and Payroll subscriptions now, could I access year-end documents like W2’s for employees when available in Jan. 2017? If so, how? Thank you.', click the link below: