England are looking to appoint a successor to Italian Fabio Capello who quit in February.
"West Bromwich Albion have today granted permission for the FA to speak with Roy Hodgson regarding the position of England manager," the FA said.
FA chairman David Bernstein added: "I'm grateful to (WBA chairman) Jeremy (Peace) and all at West Bromwich Albion for their co-operation in allowing us to approach Roy, who I have since spoken with.
"Roy is the only manager we have approached and we remain on course to make an appointment within the timescale we set-out soon after Fabio Capello's departure.
"Further conversations will now take place with Roy and my Club England colleagues before any further announcements can be made."
Tottenham Hotspur manager Harry Redknapp was thought to be the leading contender for the position.
With Euro 2012 little more than a month away, England are still without a full-time manager. Under-21 coach Stuart Pearce is currently acting as caretaker manager for the senior squad who next face a friendly against Norway in Oslo on May 26.
England meet Belgium in another friendly on June 2 before opening their Euro 2012 campaign against France in Donetsk. Sweden and co-hosts Ukraine are also in England's group.
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