NPAPI support was dropped from Google Chrome/Chromium v35 for Linux meaning that Java, Adobe Flash and any other NPAPI plugins don’t work in Linux version of Google Chrome v35.
Install Pepper Flash Player
Pepper Flash Player is maintained by Google, and is newer than Adobe Flash Player. Download the newest .deb package:
# wget http://ftp.uk.debian.org/debian/pool/contrib/p/pepperflashplugin-nonfree/pepperflashplugin-nonfree_1.3_amd64.deb
If the file above can no longer be found, check here http://ftp.uk.debian.org/debian/pool/contrib/p/pepperflashplugin-nonfree/ for the newest version available. Once you have the file, install it:
# dpkg -i pepperflashplugin-nonfree_1.3_amd64.deb
If you check the plugins section on Chromium, you should see something similar to the following:
Adobe Flash Player - Version: 22.214.171.124 Shockwave Flash 13.0 r0 Name: Shockwave Flash Description: Shockwave Flash 13.0 r0 Version: 126.96.36.199 Location: /usr/lib/pepperflashplugin-nonfree/libpepflashplayer.so Type: PPAPI (out-of-process)