"It's a special thing to be compared to Tiger - he's my idol," Lee said.
"Next year, it's going to be good to play at the Masters, just because it's another chance to see how he plays and how he's so good."
David Graham, high performance manager of New Zealand Golf, said the youngster was "too modest" about his winning performance.
"That's the thing about Danny - he's humble and too modest.
"For the public to hear that he doesn't feel pressured to perform - professional athletes won't say that. They just play, and that's Danny, he just plays," Mr Graham said.
Today, Lee will be honoured in a citizenship ceremony in Rotorua at his Springfield Golf Club, where he has been a member for the past eight years, before he attends a mayoral reception.
His mother, Seo Lee, told the Herald earlier yesterday she was humbled by her son's stellar golfing achievements. "We are very proud," she said.
"Danny practised so hard, every day practice and more practice for 10 years."
Mrs Lee was hopeful of Danny's prospects for the future. He is likely to turn professional next year and will be a target for huge endorsement and sponsorship deals.
But more than anything Mrs Lee just wanted a hug from her son and said she hadn't seen him for four months.
"I've missed him; he's been gone for a long time."
Danny Lee acknowledged that to be a top golfer, youngsters needed endless support.
"You have to have a lot of support from your parents - and hit lots of balls."
Having been away from home for the past four months, he said: "I just want to get away from it all."