Cool Digitalizer not working, use it via pc?

Hello there; I just got a used xperia ZL Broken. Main reason is to change the battery for the one I've got since it has the sudden power off problem, but that's another issue and I'll be posting results, lots of us are waiting for them.
What I want to do here is know if there's a way to use the broken phone vía pc since it's screen is smashed ( 1/4 of the digitalizer is not working, bottom part ) .
Is there any soft or way I can make it use? I since wanna use it as a media player for my TV / Sound system.