I'm a software engineer with 5 years at a FANG company. In the entirety of your time at Google did you ever identify a high performing contractor and make your mission to make them a full-time employee?
I assume you're asking as a contractor wanting to become fulltime? It's probably worth letting people you work with know that you'd take a fulltime role, because IME many contractors had no interest whatsoever in converting. But you should make sure to know about any legal/administrative blockers, like agreements between your contract company and your FAANG workplace.