Below, I've pasted VMWare's brief (four question) FAQ regarding Fusion compatibility with Mountain Lion. This is copied directly from their blog at: http://blogs.vmware.com/teamfusion/2012/07/vmware-fusion-and-os-x-mountain-lion-faq.html
Does VMware Fusion 4 work with Mountain Lion? Yes, the latest version of VMware Fusion 4, version 4.1.3 works with Mountain Lion and is signed with our Developer ID. This makes VMware Fusion 4.1.3 compatible with Gatekeeper, a feature enabled by default in Mountain Lion. What should I do before upgrading to Mountain Lion? Ensure your copy of VMware Fusion 4 is up-to-date using VMware Fusion > Check for Updates. VMware Fusion 4.1.3 is the latest available version at the time of writing. I upgraded to Mountain Lion and now VMware Fusion 4 won’t start. What happened? Mountain Lion appears to detect some older versions of VMware Fusion 4 and prevent them from launching. To resolve this issue, login to http://my.vmware.com/ (free product registration required) and download VMware Fusion 4.1.3. It can be found under “Products & Downloads > All Downloads > VMware Fusion” Does VMware Fusion 3 work with Mountain Lion? No. VMware Fusion 3 was released in October 2009 and was optimized for Mac OS X Leopard and Snow Leopard. VMware Fusion 3 is no longer being updated for newer versions of Mac OS. Customers wishing to run VMware Fusion on Mountain Lion should use VMware Fusion 4. A free 30-day trial is available for current VMware Fusion 3 users. The trial can be found here: http://www.vmware.com/go/tryfusion <--- Mac Access At Mac Access Dot Net ---> To reply to this post, please address your message to mac-access@mac-access.net You can find an archive of all messages posted to the Mac-Access forum at either the list's own dedicated web archive: <http://mail.tft-bbs.co.uk/pipermail/mac-access/index.html> or at the public Mail Archive: <http://www.mail-archive.com/mac-access@mac-access.net/>. Subscribe to the list's RSS feed from: <http://www.mail-archive.com/mac-access@mac-access.net/maillist.xml> The Mac-Access mailing list is guaranteed malware, spyware, Trojan, virus and worm-free! Please remember to update your membership options periodically by visiting the list website at: <http://mail.tft-bbs.co.uk/mailman/listinfo/mac-access/options/>