Create a ticket in Zendesk when respondents to your survey give certain answers.
For instance, you could ask a respondent in a survey if they would like to be contacted and if so have a ticket created in Zendesk so that your customer support staff can call them.
Another use might be if a respondent indicates that they are very unhappy or are planning to stop using your services, you could have a ticket created so that someone in your organization contacts them to win them back, maybe with some kind of interesting offer.