Ubuntu user here.
The only way is to start a Windows virtual machine with Oracles Virtual Box. Then install iTunes in this virtual machine.
I don't recommend installing iTunes with wine as iTunes will not work / run.
------------------ EDIT ------------------
BTW, in case you try the virtual box method, there are 2 issues that I commonly encounter (you might encounter them as well, so I'll just drop them here):
1) After installing and trying to run a VM for the first time I get the following:
Kernel driver not installed (rc=-1908)
The VirtualBox Linux kernel driver (vboxdrv) is either not loaded or there is a permission problem with /dev/vboxdrv. Please reinstall the kernel module by executing
'/etc/init.d/vboxdrv setup'
as root. If it is available in your distribution, you should install the DKMS package first. This package keeps track of Linux kernel changes and recompiles the vboxdrv kernel module if necessary.
Solution:
Close Virtual Box then run the following on terminal.
Code:
sudo apt-get install linux-headers-`uname -r`
Remove and reinstall dkms (will also remove virtualbox-dkms):
Code:
sudo apt-get remove dkms
sudo apt-get install dkms virtualbox-dkms
sudo modprobe vboxdrv
Then VirtualBox works. No computer reboot needed.
Source:
http://askubuntu.com/questions/205154/virtualbox-etc-init-d-vboxdrv-setup-issue
2) The VM will not recognize my internet.
Solution:
Close Virtual Box, then run this on terminal:
Code:
VBoxManage modifyvm "VM name" --natdnshostresolver1 on
Replace "VM name" with whatever your VM is named (for example, I named mine Windows 7).
Source:
https://forums.virtualbox.org/viewtopic.php?f=26&t=50387
BTW - For any questions you may have with Ubuntu you are better off checking Ubuntufoums and asking over there.