Walters said Boult and opening bowling partner Tim Southee would back themselves to spark wins on bouncy Gabba and Perth pitches. He also believed a swinging pink ball in Adelaide could play into New Zealand hands.
"This is easily their best chance," Walters told AAP.
"It'd be good for cricket. We haven't got the greatest side and they have performances on the board that say they can beat us."
Meanwhile, the Nine Network are adamant the inaugural day-night test will feature the decision review system, despite concerns raised by the firm responsible for ball-tracking technology five weeks out.
Nine have invested heavily in the primetime event, conducting a range of tests in partnership with Cricket Australia over the past 18 months.
That includes working closely with Animation Research, the New Zealand company that helped deliver the DRS in Australian tests since its inception.
Ian Taylor, the Animation Research boss, recently questioned whether his organisation had enough time to ensure its technology could reliably track an old pink ball.
The first test starts in Brisbane on November 5.