If you are using a licensed cloud node; your project should be visible on https://cloud.home.mendix.com/
In that case, you cannot use the single-click-deployment either, but you can click on Deploy to Licensed Cloud Node (shown in the same menu as in the earlier screenshot) and then Transport that package on the cloud portal to the desired Environment.
Are you sure the project is on the teamserver? Local projects cannot use the single-click-deployment.
In that case: first upload the project to the team server like this: