The Italian parted company with Napoli earlier this week, despite having just recorded a 4-0 win in the Champions League, and Parlour believes that his former side cannot afford to hang around if they want him to come to North London.
Speaking on talkSPORT, he said: “A few days ago Ancelotti wasn’t available and, this is the mad thing about football, Napoli win 4-0 in the Champions League and suddenly three hours later he’s been sacked!
“He’s available and he knows the Premier League very well. Sometimes you’ve got to move quickly with managers.
“Obviously he’s been at big clubs and has had the opportunity to play in big tournaments and have good players, but he’s still got to manage big players and he’s done that so well over the years.
“That’s why you say he could be the right man for Arsenal.”
Should Arsenal move for Ancelotti?
At the moment, of the candidates realistically available to the Gunners, you would probably have to say that Ancelotti is the most impressive by some distance.
The 60-year-old is a three-time Champions League winner, and has managed some of the biggest sides in European football.
Even in his last job with Napoli, he didn’t do an awful lot wrong, averaging 1.85 points per game, as per Transfermarkt.
To be fair to Parlour too, he is on the money here.
A manager of Ancelotti’s quality isn’t going to hang around for ever, and while other English sides who could move for him, such as Everton and perhaps West Ham, are less illustrious, they could steal a march on the Gunners if they’re not careful.