The Rugby Football Union have advertised the position and have recruited head-hunters Odgers to scour the world for potential candidates.
Nick Mallett, Wayne Smith and Vernon Cooper are among the international names to have been linked with a role in the new England management team.
Northampton's director of rugby Jim Mallinder has been seen as the leading domestic candidate.
Lancaster, the former Leeds director of rugby, has impressed RFU executives since taking over in a caretaker capacity for the Six Nations.
The deadline for applications is February 15, which is just two matches into England's title defence.
"I will be applying," Lancaster said.
"The job has been advertised. It's a good job and I am sure there will be a lot of interest worldwide and in England.
"My hat will be in the ring. I love working with teams and trying to help players improve. The opportunity to do that at the highest level with England is fantastic."
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The entire All Blacks apparel line has been updated for 2013/14. Check out the New Zealand All Blacks polo.
The Nike Tiempo is a solid rugby cleat and one of few styles still made from full-grain natural leather.
The Gilbert Blitz 8S rugby cleat is a great cleat at a great price of $69.99. Get a new pair of cleats today.
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Wear the crest of the British and Irish Lions on your t-shirt. A great look for the summer.
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The All Blacks Performance t-shirt is black with hints of blue from the training jersey. Very Cool.
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The NEW All Blacks 2013/14 jersey has arrived at World Rugby Shop. Dare to wear the colors of the All Blacks.
