We've set the team to application. Where do we find if anyone has applied?

Tap on club icon to bring up your members list. If you are a president or officer, you'll see below the list are 3 icons, of which the middle icon is a box with papers. This is where presidents and officers will find players who have applied. You should get a lot fewer players than if the club is set to "open". Regular members will not have any icons below the members list.