FA chief Martin Glenn admits Arsenal boss Arsene Wenger is on their England radar.
Wenger's Arsenal contract runs at out the end of this season, though he has a two-year extension as an option, and he has said he will make his decision on his future at the end of this campaign.
Glenn said: “Yes, Arsene Wenger will be out of contract at the end of the season. Of course he'd fit the criteria perfectly. So would a few others.
“The criteria won't change, it wasn't wrong before. You don't have to be wedded to the fact he has to be English, that narrows the field too far. We want the best person for the job. Being English is a bonus.
“Premier League experience would be preferable. If you look at the track record of successful international managers they are usually older. It doesn't mean they have to be. The average age of a successful manager is probably in their 60s."
Asked if the FA were prepared to wait until the end of the season for their man, Glenn said: “We want to get the right person."