There have been reports of disharmony in the camp, particularly after their 36-0 pool thrashing by South Africa last month, from which they rallied to reach the final.
When asked what England need to achieve looking forward, Vickery told 'The Rugby Club' on Sky Sports 1: "Stability. We had such a roller-coaster ride. I know there are lots of things going on in the background but I think that - any time, any player - you need stability, whether that is coaches, selection, off-field - all of it."
Director of elite rugby Rob Andrew is heading the RFU's review, which will analyse all aspects of the World Cup.
Coach Brian Ashton and his backroom team have received praise from the RFU for their efforts but the nature of their roles long-term are yet to be determined.