The Football Association will meet on Friday to discuss a successor to Fabio Capello with a preference for an "English or British" manager.
FA chairman David Bernstein said he expected "to move quickly" but refused to comment on rumours linking Tottenham boss Harry Redknapp with the vacancy.
"We have to do it properly and get a shortlist together," said Bernstein.
Current assistant Stuart Pearce will take charge of England's friendly against the Netherlands on 29 February.
Following Capello's resignation there has been a clamour for the new appointment to be English, with Redknapp backed by the likes of Manchester United defender Rio Ferdinand and striker Wayne Rooney.
"No he will not definitely be English," added Bernstein.
"Clearly there is a preference for an Englishman or a British person but in the end we want the best person. I am certainly not prepared to rule out anything but an Englishman or British person would have a good start."
Euro 2012 begins in 120 days from now on 8 June and Bernstein said the FA was the keen for the recruitment process to be done "properly and professionally".
"There is plenty of time. Time for new man to get in place, do what he needs to do - we are in a better place than we appear to be," added the association's chairman.
"I am not going to get into any discussion on individuals. We will do this as quickly and as sensibly as we can do it properly and professionally.
"It will be interesting what we hear, and who comes to us. We will be putting a shortlist together and it will be a major priority for us."
The four, in attendance at the news conference, who will decide who will take over from Capello are Bernstein, FA general secretary Alex Horne, FA's director of football development Sir Trevor Brooking and managing director of Club England Adrian Bevington.
Phil McNultyChief Football Writer, BBC Sport
Harry Redknapp may have been in his trademark pose, conducting interviews out of an open car window many miles away - but in spirit he was almost in the room with the Football Association's delegation at Wembley.
Fabio Capello's decision to quit as England manager brought the world's media to FA headquarters as chairman David Bernstein led the response with a detailed timeline of four hours on Wednesday that ended with the Italian walking away from his £6m-a-year post.
And throughout what was a measured and detailed response, Tottenham manager Redknapp played the part of the elephant in the room.
“We ended the day with a handshake and any reports of storming out are not fact”
FA chairman David Bernstein
He added: "We ended the day [Wednesday] with a handshake and any reports of storming out are not fact and a misrepresentation of fact.
"It was a very detailed meeting with a lot of detailed questions asked by us. We adjourned and an hour later I met, by myself, with Fabio. At that time he offered his resignation and I agreed this was the right decision for the FA.
"There was absolutely no ultimatum, the first session was a Q&A session and I left it for him to think about the situation. It was very much his decision. We went into the meeting with concerns but an open mind."
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