That’s the story that Silicon Alley Insider is running based on this singular tip:
I saw your recent post on Tim Cook at Apple. I don’t know if he has been contacted yet but he is the top candidate that Spencer Stuart has identified as the next CEO of GM. I have an inside source at Spencer Stuart.
[Interim CEO Edward E. Whitacre] wants the candidate to come from a company known for operational excellence, innovation and customer satisfaction and in addition he is looking for someone that has turnaround experience. It also doesn’t hurt that [Tim] has been able to work with Jobs. Whitacre does want to stay on as Chairman. Also, Cook has been the key link to AT&T and should understand the culture that Whitacre, [a former AT&T CEO] built.
Even if Cook was chosen, would he leave Apple to run GM? Would Apple let him go without a fight? Seems very unlikely.