September 2015 - last edited April 2016
Plugin-free game launching is now enabled in Chrome, Firefox (probably not the 64bit version), IE and Edge (Please write me if it works in other browser as well). This means you don't need to have the Battlelog plugin installed to play the game.
This plugin can be safely removed from your system.
With Chrome 45 now in stable channel this way of launching is required for this browser.
You might need to log out of Battlelog and clear all cache followed by a restart of Chrome:
Then the popup in Battlelog should change to this where you click HELP:
Then enable plugin free game launching:
You can see the Battlelog forum post about the issue: