Chrome won't quit! (Mac Yosemite)
That other answer isn't good because you should not shut down your computer, and it is very unlikely that malware has anything to do with not being able to shut down an application. Do this


Type sudo killall Google\ Chrome on the Terminal.
If this does not work, do this: 

pgrep -x "Google Chrome"


You will see a number, then type kill -9 numberhere where numberhere  is the number that the pgrep command returned.


And to instatly delete the app, no matter if it is open or not, do:

sudo rm -rf /Applications/Google\ Chrome.app


Then type your password.

The reason you get a permission denied error is because you need root access do to this, just use sudo on the terminal for this.