I did not find a way to install VMWare player on Ubuntu 13.04 - 64 bits. But, I found an archived site having a VMWare player 6.0.0 for ubuntu 64-bits.
To install VMWare 6.0.0, we need to install install VMWare 5.0.3 first and then the automatic update will do the rest for 6.0.0 version. To do that, open a terminal and run the following commands:
sudo apt-get install build-essential linux-headers-`uname -r`
mkdir ~/VMware
cd ~/VMware
wget -c https://softwareupdate.vmware.com/cds/vmw-desktop/player/5.0.3/1410761/linux/core/VMware-Player-5.0.3-1410761.x86_64.bundle.tar
tar -xvf VMware-Player-5.0.3-1410761.x86_64.bundle.tar
To install VMWare 6.0.0, we need to install install VMWare 5.0.3 first and then the automatic update will do the rest for 6.0.0 version. To do that, open a terminal and run the following commands:
sudo apt-get install build-essential linux-headers-`uname -r`
mkdir ~/VMware
cd ~/VMware
wget -c https://softwareupdate.vmware.com/cds/vmw-desktop/player/5.0.3/1410761/linux/core/VMware-Player-5.0.3-1410761.x86_64.bundle.tar
tar -xvf VMware-Player-5.0.3-1410761.x86_64.bundle.tar
chmod +x VMware-Player-5.0.3-1410761.x86_64.bundle
sudo ./VMware-Player-5.0.3-1410761.x86_64.bundle
Then after the installation, you can type "VMWare" in the start menu then it will ask you to upgrade to VMWare 6.0.0 version.