The FIH executive has decided it is neither possible nor appropriate to continue its discussions with Hockey India on hosting rights in the next four-year cycle, particularly the Champions Trophy and the men's and women's Olympic Qualifying Tournaments in February 2012.
Poole said any planning was "in the very early stages" but stressed her association was in no hurry to expose itself to any financial risk.
New Zealand would be a logical choice to host the tournament, which rates only behind the Olympics and World Cup on the international calendar.
Ranked seventh in the world, the Black Sticks are the only team ranked in the top eight not to be included in the roster for the tournament.
Their place is taken by ninth-ranked India.
National men's coach Shane McLeod would welcome the opportunity to play such a tournament.
"It would be great to host a tournament like this as a lead in to next year's Olympics," said McLeod, who is scheduled to take his team to South Africa in late November to play the Champions Challenge from which the winner will qualify for the next Champions Trophy.
Meanwhile, McLeod and women's coach Mark Hager yesterday named their 25-strong squads from which the 16 players for the London Olympics will be selected.
The only non-capped players are Southland defender Kane Russell, 19, and in the women's squad, Auckland striker Julia King, 20, and North Harbour striker Rhiannon Dennison, 19.
King and Dennison are members of the 19-strong squad who leave today for a five-test series with the US in San Diego.