All applications in GWApps deploy when they are created. There is no separate deployment step.
If you want to have a review step where IT gets to approve the application before is it “deployed” to the users, you can implement this via application security. As a user does not see an application they have not been given access to, deployment really just becomes giving users access to the application. Using this approach you would have a policy that new applications should be created with just the developers and a defined list of IT users having access. Once the IT staff have signed off on the application, the real users are added to the application.