Stuart Lancaster paid the price for host nation England's World Cup failure when he resigned as head coach on Wednesday following a Rugby Football Union (RFU) review.
An RFU statement said Lancaster, in charge since April 2012 and under contract until 2020, had "stepped down by mutual consent".
Jake White, who coached South Africa to World Cup glory in 2007, and Australian Eddie Jones are among the leading contenders to replace Lancaster, along with English coaches Rob Baxter and Mike Ford.
England, who went into the tournament with huge expectations of lifting the Webb Ellis Cup for the first time since 2003, failed to reach the knockout phase after defeats at Twickenham by Wales and Australia.
England let a 10-point lead slip to lose 28-25 against Wales and, needing to beat Australia to avoid an embarrassing early elimination, were crushed 33-13 by the Wallabies to become the first England side to go out of a World Cup in the pool stage.