Thorpe, who played 100 Tests for England between 1993 and 2005, had taken up coaching since retirement.
The island country has been without a full-time head coach since South African Mickey Arthur stepped down late last year.
About 80 people attended the service including retired Australian Test captains Mark Taylor, Allan Border and Michael Clarke, while former England skipper Michael Vaughan was also present.
The popular former spin-bowler and media personality will be buried at a private funeral.
The leg-spin legend could bamboozle even the best in the business.
One of the finest bowlers of all time whose talent and personality transcended cricket, Warne died at the age of 52 on Friday.
In an international career spanning 15 years, Warne revived the art of leg spin.
Langer was reported to have reacted angrily during a recent meeting with CA over his contract and had been asked to reapply for the role.
Silverwood had come under pressure after England lost the five-Test Ashes series 4-0, with former skipper Mike Atherton calling for a complete overhaul of the England management.
Bresnan was a member of the Ashes-winning England team in 2010-11 besides being a part of the triumphant 2010 T20 World Cup squad.