Johnson's contract is up for renewal in December and it remains to be seen whether the RFU will persevere with the former Leicester man, just as they did with Sir Clive Woodward in 1999, before he guided England to World Cup victory in 2003.
Graham Henry, Nick Mallett and Shaun Edwards have all been linked with the job but Moody is adamant Johnson must stay with the 2012 RBS 6 Nations looming on the horizon.
"When you are captain you take it all very personally," said Moody. "But the most important thing is that there are no knee-jerk reactions. It is essential for me Johnno continues.
"There was certainly a degree of naivety and to allow things to transpire the way they did was very naive and simply wrong.
"That has happened now, it's frustrating for me as a player and someone like Jonny [Wilkinson] who's been around the England set-up for a very long time, especially as it was my last involvement."