Within Teamwork, you can quickly review and edit the access and permissions that a particular person has for multiple projects.
Go to the People section at the top of your site and select the People subsection.
Hover over an individual user and click the edit pencil that appears to the right. Alternatively, click the person's name to open their profile, and then click the Edit button in the top right corner or their profile.
In the edit details modal, go to the Permissions tab, and click the Edit link next to the Project Access total count at the bottom.
You will see a list of projects (grouped by the company they are associated to) with a preview of the permissions they have on that project.
You can use the padlock icon to quickly add this person to each project (or remove them), or multiple projects at once.
Note: If a user has the permission to Manage people and companies enabled but is not a project admin on a particular project they will see the project in the list but will be unable to add a user to it.
This project will display a lock icon and the edit option will be removed.
Note: Any changes you make to access or permissions will be applied immediately so you can just click Finished to exit this screen.
For more information see: Adding People to a Project