I've been using the Citrix ICA client with Chrome without issues.
Very odd, it is a known issue - google it. Could welll depend on what version I guess. The very latest web client doesn't work
The problem I had last time I tried it was that it wouldn't let me open ICA links, only save them, which was pointless.
It still does that but once saved I just open it from the download menu and it all works as normal.