Ancelotti's comments show that he is quite keen on the job I reckon.
I have a lot of respect for him, very good coach. I would happy with him to take the reins for 1-2 seasons while we prepare for an Arsenal legend to take the reins, like Henry, Vieira or Arteta, if that's the way we wanted to go. Or even until Low is ready if the rumours about him are true.
The Rodgers talk scares me, I feel it would be a poor appointment for the fans. I mean his record is very good, he plays attractive football, just about won the title with a Liverpool side that wasn't really good enough to do so on paper, but it's the David Brentisms and the general feelings of the Liverpool fans at the time that holds me back. He just talked so much crap, if the results weren't going well it would be hard to stomach. Could see it ending in tears fairly quickly if he didn't start well.
An experienced manager from Europe, or someone with an Arsenal history, would be given more leash, and a bit of time to stabilise in the role.