Certified GKH Gardening Expert
You will want to do this after all threat of frost has passed. It is best to start these indoors under bright lighting to give it a better chance of survival.
Since you are on the edge of this shrub's hardiness zone, it may need extra protection in the winter.
Here is an article that will help: https://www.gardeningknowhow.com/ornamental/shrubs/paperbush/paperbush-plant-care.htm