Apple has already approved the official Google Voice App for the iPhone, according to a post over at TechCrunch:
We’ve gotten word that the official Google Voice application is on its way to the iPhone in the next few weeks. In fact, we’ve heard from a source close to Google that it’s already been approved — Google just needs to revamp the application to work with the iPhone 4 and iOS’s multitasking capabilities. If you’re a Google Voice user and you’re on an iPhone, this is great news.
Google last word on the matter was "no comment", but could the app whose infamous non-approval launched an FCC investigation and kick-started a new era of less kind, less friendly Apple/Google relations finally make its way ito the App Store? This is not that big of a surprise given that a couple of third party applications have already been approved that work with Google Voice, namely GV Mobile + and GV Connect.
Keep an eye on the App Store as if the report is correct, it could appear anytime soon!