As usual, a variety of means could achieve conformity. In process approach fashion, we would determine how/when/where this requirement applies to your processes. For example, let's consider a machine shop operating the following management system processes: Sales, Purchasing, Receiving, Production, and Shipping. Using the process approach, the outsource requirement would be addressed (and defined) in procedures dedicated to processes where it is encountered.
It could be that the requirement to employ outsourced processes is first encountered in the Sales process. When a Salesperson quotes an order requiring plating, a reasonable procedure might urge Sales personnel to acquire bids from qualified suppliers (which provides a segway to the Purchasing process).
Outsourced processes are often procured via an organization's purchasing function. So, we would expect to see in a Purchasing procedure what requirements pertain to suppliers of outsourced processes, what product requirements and acceptance crieria are needed/communicated, requirements for inspections/certificates of conformity, etc.
Often, the results of outsourced processing require verification in Receiving before product arriving from outsourced processing is accepted/used/released to the customer. So, a sensible Receiving procedure would naturally address how product arriving from outsourced processing is verified.
Product requiring outsourced processing first often has value added internally, then outsourced processing is required, while resulting product is then often returned to the organization for further processing before release to customers. The arrangements for product release to outsource suppliers is naturally addressed in a good Production procedure, as is the acceptance of product resulting from outsourced processing and authorization to use this product in Production (following successful incoming inspection).
Finally, the Shipping procedure would address how product is packaged and transported to suppliers of outsourced processing. In many manufacturing organizations, a Traveler or Router awaits product return from outsourced processing, which is different from the routine for releasing product to customers.
Again, this is how the "outsource control" requirement would be addressed in process approach fashion in a manufacturing company.