Campbell, who used to play for Tottenham Hotspur but made the switch to the Gunners later in his career, says he has 'done all the badges' and feels his career earns him a place within the Three Lions' coaching setup on merit.
Neville currently works within Roy Hodgson's backroom staff at England but, asked what the national side needed to do to concede less goals, Campbell had one solution.
Indeed, the former Spurs and Arsenal man said the following, while speaking at the Cheltenham Literary Festival:
"Get rid of Gary Neville and get me in instead. I've done all the badges
"I'm doing my coaching badges with the Welsh FA. I am on the last year of the pro licence. Whether I'm going to use it straightaway I'm not too sure. Whether I can use it here I don't know.
"But the career I have had should warrant me getting a job."
Despite the claims, however, England have kept four clean sheets in their last six games, meaning their problems have more to do with going forward.
Former Man United defender Neville has also already obatined his UEFA A and B coaching licenses.