Re: 4 pillars of Quality management
At a minimum, customer satisfaction is called out in 5.2, which says Top management shall ensure that customer requirements are determined and are met with the aim of enhancing customer satisfaction
5.6.2 calls out a requirement for customer feedback. What sort of feedback you use is your choice, so long as it is effective.
5.6.3, 6.1, 7.2.1 and 7.2.2 require the business to know what its customers require.
7.2.3 involves communications with customers, and 7.5.4 deals with safeguarding any customer's property used in your business's processes.
8.2.1 and 8.4 talk about monitoring and analyzing customer satisfaction. 8.5.2 deals with handling customer complaints.
8.3 deals with nonconforming material, including the customer's role in its release (if any).
In short, ISO gives some requirements for understanding what the customer wants, designing the processes to make sure it happens, knowing if you've done it well, dealing with the results, asking for and responding to feedback, and controlling the product and anything they've lent you (such as special inspection equipment) to do all this.