The only ways it would be appropriate is if she responds to it, it is a form of discipline she respects, and the parents have a healthy communication with her. It is however odd as a form of discipline for a 13-year-old girl. Time-out seemed to work with some children who did not completely respond to or understand verbal discipline for their actions, but 13-year-olds are usually well beyond that stage.
The initial part of my answer is only out of respect for the parents who may know what is best for their daughter, even if it is not easily understood by others. It may be that the parents need advice on how to transition their disciplinary tactics to more age-appropriate techniques.