It should. You could boot and run Zorin from a USB flash drive or CD/DVD to find out first though.
A Live CD/DVD or USB flash drive contains a complete bootable computer operating system (OS). When you boot a computer from it, the OS loads into, and then runs from memory instead of a hard drive. This allows you to run an OS without installing it or making any changes to a computer's current configuration.
To create one, download an ISO file containing the OS you want to use, (such as Ubuntu, Slax or Zorin), then use something like
ISO Recorder to burn it to a CD/DVD or USB key.
Now boot your computer from this disc/key and your computer will be running that OS instead of the one on its hard drive.
When you're done, simply reboot your PC from the hard drive.