Budge, who also expects to announce more players for Auckland in the next four to six weeks, said high-profile names were always likely to come to these shores.
"I never doubted it, to be honest," he said. "I've been lucky enough to work in tennis now for six years and on the tour for the last couple and I was never really stressing about China. I think it will take out a couple of top 10 and maybe a handful of players in that 11 through 40 bracket.
"But anyone that wants to take the Australian Open seriously and have a really good shot at it, I can't see them choosing China in the middle of winter to play an indoors tournament as their preparation for 40C heat plus in Melbourne.
"You've got the option of going over to Brisbane and earning more prize money and taking more ranking points but you risk drawing Serena Williams or Maria Sharapova first round, second round; that's not really the ideal preparation going in to a Grand Slam."
The 1.72m Radwanska is the equal-highest ranked player who will tackle the Auckland event since Elena Dementieva, who was also world No 4 when she played at the tournament in 2009.
Radwanska will likely head the field, which will also include Britain's Heather Watson.
Agnieszka Radwanska
Born: Krakow, Poland
Age: 23
Career prize money: US$10,431,677
Singles
Career record: 346-151
Career titles: 10 WTA, 2 ITF
Highest ranking: No 2 (July 9, 2012)
Current ranking: No 4 (October 15, 2012)
Grand Slam singles results
Australian Open: QF (2008, 2011, 2012)
French Open: 4R (2008, 2009, 2011)
Wimbledon: F (2012)
US Open: 4R (2007, 2008, 2012)