What happens if I uninstall the Google Settings app? My android device frequently runs low on free memory space.

Can I delete the Google Settings app?

I want to install a game but it is not installing what should I do?
I don't think you CAN uninstall that App.  At a minimum, you would need ROOT to do it.  

This probably wouldn't have any immediate effects, until you wanted to make any change to your settings (in which case, you wouldn't have the tool to do it).