The javascript hook that Contact Form 7 uses to send an event to Google Analytics has changed with the implementation of Universal Analytics:

on_sent_ok: “ga([‘_trackEvent’, ‘category’, ‘action’, ‘label’);”

becomes

on_sent_ok: “ga(‘send’, ‘event’, ‘category’, ‘action’, ‘label’);”

In my test, the event recorded immediately. Works like a charm. You’re welcome, internet.