The best way to answer this question is by giving an example. The best way to show off your people-skills is to share how you have interacted with patients or coworkers in the past.
"I love working with people. I try my best to be flexible and open in the workplace, understanding that things can change quickly. I also want to stay on good terms with my coworkers, so if I sense a conflict arising, I will be sensitive in addressing it before it escalates."