Snedden's time as NZC chief executive - during Sir John Anderson's reign as chairman - was punctuated by the 2002 standoff between the players and the board over contract negotiations and politics, when New Zealand refused to travel to Kenya during the 2003 World Cup because of terrorism concerns.
When Boock revealed the plans for changing the board in July - as part of a new constitution approved at a meeting that month - he hoped at least 100 applicants would come forward including plenty with strong cricketing connections.
Three members of the board, Stuart Heal, Greg Barclay and Don Mackinnon, signalled their intention to reapply.
Moller, chairman for the last three years, prominent broadcaster Bill Francis, Sir John Hansen and Therese Walsh - head of the New Zealand arm of the 2015 World Cup committee - said they would stand down.
The appointments panel includes Sport New Zealand representative Sir John Wells, and three of the six major association chairmen, Rex Smith (Auckland), Murray Hughes (Otago) and Lachlan Muldowney (Northern Districts).
Boock has said the makeup of the panel should ensure "we are going to get what the members of New Zealand cricket want", meaning a board with a greater, if not overpowering presence of cricket people.
Boock called the new constitution "starting again" rather than patching up the old document.