Lee had been listed as a Korean in a professional tournament in his native land two years ago but Graham said that was down to the tournament organisers and Lee was upset by it.
"It was before my time at New Zealand Golf but I understand Danny sent emails here saying he was horrified by that and wanted to know if we could do something to get it changed. He regards himself as a New Zealander and wants to represent the country.
"People need to be careful not to generalise just because situations have arisen with other Korean players. Danny is an individual and needs to be treated as such.
"I didn't speak to him about it over the past few weeks because I wanted him to be able to concentrate on golf without distractions like that.
"Danny is very upfront and that is what he has told us. It has never been a concern to me because I know what he thinks about it, although I know there has been a bit of talk about it. Danny always acts with integrity."
Another Kiwi golf product, Sharon Ahn, has returned to Korea, to much consternation in some quarters. There have also been suggestions that Eddie Lee now plays as a Korean, although the Asian circuit website still lists him as a New Zealander.
Graham said influences, such as extended family overseas, came into play and the youngsters did not always have control over the decision.
Danny Lee shapes as a rare case of a New Zealander with the potential to star in a global sport, and has anappetite for work to match his talent.
Graham said that Lee's playing partner at a professional tournament a few weeks ago, Patrick Sheehan, said the teenager conducted himself like a 10-year pro tour veteran.
And Graham gave a further insight into Lee's remarkable work ethic.
Even on tournament days, he treats golf as a nine-hour work day. That includes a two-hour warm-up regime, playing his round, and then hitting the practice range and greens for another 2 1/2 hours.
"Others might warm up for 10 minutes or half an hour, and after playing it's time to talk to their mates.
"Danny has shown the other young players around the country what it takes to get to the top."
Great moments in NZ amateur golf:
1954: Bob Charles wins the New Zealand Open as an 18-year-old amateur.
1967: Stuart Jones beats Ross Murray in the final of the Canadian amateur championship.
1986: Marnie McGuire, 17, wins the British Ladies amateur championship.
1992: New Zealand team of Michael Campbell, Phil Tataurangi, Stephen Scahill and Grant Moorhead win the Eisenhower Trophy world teams championship in Canada.
Michael Campbell wins the Australian amateur championship.
2001: Gareth Paddison wins the Canadian amateur championship.
2002: Eddie Lee wins the Asian Tour's Maekyung Open in South Korea as an 18-year-old amateur.
2008:
Danny Lee, 18, wins strokeplay and medallist honours at the Western Amateur in Michigan, US.
Danny Lee ties for 20th in the PGA Tour's Wyndham Championship at Greensboro, North Carolina.
Danny Lee wins the US Amateur at Pinehurst, North Carolina.