Kalderimis has confirmed a notice of appeal will be filed to the Sports Tribunal tomorrow.
"Mr Martelletti is New Zealand's leading men's marathon runner, the holder of the Oceania marathon title, and the only International Association of Athletics Federations (IAAF) qualifying athlete for the Rio Olympics Men's Marathon event from New Zealand," said Kalderimis.
"Here, there is no competition for places. For New Zealand, it is Mr Martelletti or no-one."
To qualify for Rio, marathon runners must complete a time of 2:19 under IAAF standards. Martelletti has done so twice - in London and the Gold Coast.
Kalderimis indicated the grounds for the appeal centre around the application of the nomination criteria and that evidence of Martelletti's illnesses during key events was not accorded sufficient weight.
"The overall test in New Zealand is whether Mr Martelletti is capable of a top 16 placing. He is. Despite being ill when competing in the recent London marathon, Mr Martelletti completed in 2:17:26, finishing in 21st place overall, indicating that a time of under 2:14 was likely to be achieved. This was from a field of 39,000 competitors, which was not limited to three entries per nation as is the Rio 2016 marathon," says Mr Kalderimis.
Kalderimis said Martelletti's coach, Nick Anderson, a former UK Athletics head coach, also strongly supports the athlete's contention that he is capable of a top 16.
New Zealand has not been represented by a male marathon runner in the Olympic Games since 2004.