Roy Hodgson will remain as England manager until 2016, says Football Association chairman Greg Dyke.
After losing their first two matches, England were knocked out of the World Cup when Costa Rica beat Italy 1-0.
Speaking before the team's elimination was confirmed, Dyke said: "I already see people asking the question, 'Will he stay?' The answer is 'yes'."
Hodgson was appointed shortly before Euro 2012, following Italian Fabio Capello's shock decision to quit.
He added: "There are a lot of young players who got blooded here and got into tournament football."
Former England striker Alan Shearer told BBC Sport that the FA should stand by the 66-year-old Hodgson.
"I would give Roy the chance to take England to the 2016 European Championship," he said. "He should get the opportunity to finish what he has started."
Shearer, 43, believes Hodgson has done what was asked of him and does not think there is a better candidate for the job.
"If we do sack him, who would we replace him with?" he asked. "Roy is a good manager and an experienced manager and I don't think anybody else would have done anything differently at this World Cup.
"He has picked young players, which is what everyone wanted him to do, and the fact of the matter is that we have not been good enough.
"That is the issue and a new manager would have the same problems, regardless of who it is."
Shearer believes Hodgson should stand by his decision to select the younger players.
Liverpool forwards Daniel Sturridge, 24, and Raheem Sterling, 19, plus Everton midfielder Ross Barkley, 20, have all featured prominently in their first senior tournament with the national side.
"We have to hope these guys can keep progressing and playing on the biggest stage," said Shearer.
"You can play as many friendlies as you want but the real acid test is the major stage because that is where you can be found out."
England begin their Euro 2016 qualifying campaign with an away game against Switzerland on 8 September.
Their group also includes Estonia, Lithuania, San Marino and Slovenia.
The 2016 European Championship takes place in France and features an expanded 24-team format for the first time.
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