Martin O'Neill, Sam Allardyce and Alan Curbishley have all said they will not leave their current posts but Barwick said he was not concerned.
FA Should Take A Long Hard Look At Themselves!
Martin O'Neill, Sam Allardyce and Alan Curbishley have all said they will not leave their current posts but Barwick said he was not concerned.
Barwick: "I'm not deterred - I'm determined to get the right person, the English footballing public is demanding that and it's my job to make sure we get that right.
"We know that England fans are very disappointed and feel let down.
"I can't support people being booed but they pay their money and if that's they way they wish to express it, I can understand it.
"I think a huge part of what comes next is managing the intensity of the occasions, we have to make sure the players go on to the pitch feeling really good about themselves.
"Something I can bring to the party is how we can better manage that.
"The reality is we have to improve. It's easy to concentrate the group on these two teams but there's a lot of work to do elsewhere.
"There's a lot of travel facing us, the odd banana skin and a team that has beaten us twice in competitive games so there's a job of work to do."
Barwick will meet the FA's director of football development Sir Trevor Brooking on his return from South Africa to begin the process of finding McClaren's successor, but he would not be drawn on a time-frame or possible contenders.