McClaren replaced Sven-Goran Eriksson after the 2006 World Cup but lasted only 17 months as England failed to qualify for Euro 2008.
Trevor Brooking, the Football Association's director of football development feels, McClaren's name "will be in the frame again" with England if he continues to impress.
Fabio Capello has already indicated he will step down when his current contract expires in the summer of 2012.
"It is a big challenge and it is great for an English coach. Terry Venables went abroad and did well, but Sir Bobby Robson was the one manager who went to three countries and was a massive success.
"We have to try and get more English coaches doing that. Sometimes we are a bit lazy with our language. I am watching other coaches and there are people speaking four or five different languages.
"We have to encourage our coaches to do that so that they go abroad and get that experience if they can. They have to do it on merit and Steve has done well."