Keen progressed through the club's academy to play for West Ham for 10 years between 1983 and 1993 and believes combining the club's young players with their traditional values is the best route out of the Championship.
"This is my club. People say claret and blue runs through your veins and that is very much me," he said.
"I think we have got a superb young bunch of footballers coming through in he likes of James Tomkins, Junior Stanislas, Zavon Hines, Freddie Sears, Jack Collison and Jordan Spence.
"There is a real opportunity to go back to the days of pass and move and make sure people tackle like [former player and manager] Billy Bonds and want to run through brick walls for this football club."
"I loved my time at West Ham and the football there. People who go to West Ham want to preserve that kind of one or two-touch passing football.
"I'd love to be given the job," he told talkSPORT. "I'd love to be given that sort of opportunity.
"I feel I've served my apprenticeship," he added.
"I've worked with Tony Carr at the academy, I spent four years with the young lads and then I spent a couple of years in the reserves until Alan Pardew made me first-team coach.
"I've worked with Alan Pardew, Alan Curbishley, Gianfranco Zola and obviously Avram Grant this year.
"I look at what Brian McDermott has done with Reading this year, someone who's very loyal, very hardworking, very humble and maybe it's time for West Ham to go for someone like that."