Graveney has been chairman of selectors since 1997

The Schofield report on the performance of the national side from 2002-03 to last winter called for a new full-time post of national selector.

The person appointed would travel with the team and have an equal voice on tour to the captain and coach.

"I'd just like to stay involved in whatever capacity the board consider," Graveney told the BBC Today programme.

The Schofield review group was set up in the wake of England's 5-0 Ashes defeat in Australia.

Team selection was criticised both before and during the tour, with particular focus on then coach Duncan Fletcher's preference for spinner Ashley Giles and wicket-keeper Geraint Jones at the start of the series.

"Everybody takes joint responsibility," said Graveney.

But he hit back at critics of Fletcher, who has since been replaced by Peter Moores.

"I've been a bit disappointed - particularly through the media - with the amount of criticism Duncan's received because he is and has been an outstanding coach and did a fantastic job for England," he commented.

The Schofield report contained 19 recommendations, which were made public on Thursday, 17 of which have already been accepted by the England and Wales Cricket Board.

However, no timescale has yet been put on the changes, which also include the appointment of a managing director to oversee the running of the England team and a director of county cricket.

"It's got some interesting points in it, both internationally and domestically. We'll see how the ECB reacts to it," Graveney added.