How would you react if a parent complained about the care provided to their child?
Make it clear to the interviewers that you will consider each criticism carefully. You want to put up your best effort at work and foster an environment where every youngster can succeed. But, you are only a human and may err, misinterpret a youngster, or misjudge a situation in a classroom.
You may even go a step farther and state that you would welcome hearing a parent's complaint. We learn the most from our mistakes when we receive criticism that helps us better as child caregivers. Of course, we won't repeat them once we've learned from them.
Declare that you will listen to them with care and patience, attempt to comprehend their perspective, express your regret, and only then explain your own perspective, if it differs from theirs—for instance, if their child did not speak completely the truth.
Example:
I once dealt with a parent who would bemoan how simple the lessons were. I informed the director of my childcare before having a meeting with the parents. We clarified that the state set the curriculum standards and that raising the bar might push certain students behind. I mentioned some local tutoring centers where their child could work on advanced skills on the weekends or after daycare, and I also offered to send worksheets for advanced practice home with the youngster.