Former England caretaker boss Peter Taylor has backed John Terry to take over as skipper from David Beckham.
Terry is the bookmakers' favourite to be new skipper
Beckham, who stood down on Sunday, was appointed captain by Taylor for the friendly with Italy in November 2000.
"Terry is the obvious choice," said the England Under-21 and Crystal Palace boss, who is backed by the defender's Chelsea team-mate Frank Lampard.
However, defender Jamie Carragher told Liverpoolfc.tv that he thinks Reds star Steve Gerrard should land the role.
Carragher said: "Having seen how well Steven Gerrard captains Liverpool, I'd like it to be him.
"When you look back at the way he played in Cardiff in the FA Cup final and in Istanbul in the Champions League final you would have to say there can't be too many players around who are more inspirational than him."
He's a great leader at Chelsea and a great player for England
Frank Lampard on John Terry
Terry is the bookmakers' favourite to replace Beckham and Lampard believes he has the qualities needed to succeed in the role.
Lampard said: "He's a great leader at Chelsea and a great player for England.
"He helps others around him and has that strength of character, which means he's not just concerned about himself but everything that will benefit the team.
"John also exudes an air of confidence in the way he plays. He sets standards for people around him. He is also a good mixer when we are away, like at a World Cup."
Taylor also thinks that Liverpool midfielder Gerrard along with Manchester United defender Rio Ferdinand are the other main candidates.
Steve McClaren, who has taken over from Sven-Goran Eriksson as England boss, will need to appoint a new captain after Beckham stood down following England's World Cup quarter-final defeat by Portugal.
Beckham, 31, led the team 58 times as he remained skipper during Eriksson's five-and-a-half-year reign.
Taylor added: "When I had to pick a captain for my one game in charge I had three options, in David Beckham, Gareth Southgate or Gary Neville.
"Steve McClaren also has choices with Terry, Gerrard and Ferdinand - all leaders in different ways."