Success with any project management system hinges on buy-in from your staff. Get you team on-board by:
Become an expert - learn the project management system well so you can be support for your team members.
Train - take half a day and lead a workshop for you team on how to use Wrike and how it will work for your team. Be sure to explain how much better their lives will be due to using Wrike.
Feedback - Actively seek out feedback from your team and act upon it. Make your team part of the process of finding how Wrike will best work for you.