"This app is not compatible with your Sony Xperia Z"
This error message has nothing to do with a faulty Sony Xperia Z, but with the programming of the app. This has not been adjusted on the Sony Xperia Z and therefore it can not be installed, otherwise eg could cause display problems.
For this reason there is for it also not a viable option, because if the Sony Xperia Z has not been considered by the software maker is a only one possibility. And the means: wait, or hope that the app is still made available for your own device.
Software manufacturers often customize your apps on smartphones currently most sold to such as the flagship of Samsung. Only later other smartphones such as in our case, the Sony Xperia Z will be considered.