Is there a way to run Linux Google Chrome with Java support?
There's a guy (Michael Müller) who have wrote some patches to re enable the support for NPAPI (so icedtea will work).
This is somewhat a workaround. but is expected to work. (Actually I haven't tested)
Currently the build version is 36.
If you use ArchLinux you can build and install it from AUR. chromium-npapi
If not, you can see in PKGBUILD the build process.