Welcome to the forum.
They are totally compatible. It’s been my default browser for years.
avast! is compatible with all browsers.
If you want to try installing Chrome again, got to:
https://www.google.com/intl/en/chrome/browser/?&brand=CHMB
If you install Chrome and set it as your default Browser look at the following setting in avast!:

http://www.screencast-o-matic.com/screenshots/u/Lh/1377349715361-27580.png