Client Can’t Edit WordPress Content

I figured out after dealing with a second client, there is an issue editing WordPress sites when computer write permissions are restricted. I tested this theory by accessing the client’s network on my [unrestricted] laptop.

The IT departments for both of these clients has prevented their users from installing new applications and writing certain file types onto their hard drives.

Is there a workaround, whether installing a plugin or changing PHP, that can mitigate this issue?