The four posts up for re-election are currently held by GPC deputy chairman Dr Richard Vautrey, Dr Peter Holden, Dr Beth McCarron-Nash and Dr Chaand Nagpaul.
Dr Marshall, who stands down next month as chairman of GPC Scotland after six years in the role, said it had been a 'difficult decision' to stand.
As chairman of GPC Scotland, he has served as a negotiator in talks over the UK GP contract alongside the existing negotiator team.
Dr Marshall said: 'It was a very difficult decision. We have worked together for all the years I have been there. But given my success in Scotland as a negotiator, I believe the team would be stronger with me as a negotiator. We are at a critical time in England, basically in crisis, and we need the strongest team possible.'
Members of the GPC have been sent supporting statements from each of the five candidates and will vote on Thursday.