Not sure what problem you're talking about???---but you can disable Chat, so that it doesn't bother you or interfere with normal actions of your inbox.
When your page opens----look for the IM contact list on the left hand side.
Click where your status says “Available” and THEN select “Sign out of Chat”. This will disable the feature.
Yes, the little blue box is still on the page under the trash---but it's disabled,-- until (and/or IF) you choose to reactivate it.