"It would be fantastic for the Warriors to be a part of a women's competition," said George.
"It would be fantastic for our fan base, for our corporate partnerships, the club in general, and it would be great for rugby league in New Zealand.
"I've contacted the NRL to understand more about what a proposed competition would be like and I'm just waiting on their feedback.
"Once I understand what that is we can then give it serious consideration."
Greenberg also announced that 40 Australian players will be offered Jillaroos contracts which would include match payments - but it remains unclear what plans there are to cater for New Zealand-based players.
Sydney's Daily Telegraph today reported the NRL are considering the option of drafting players for a range of reasons, such as preventing the Warriors from fielding a team made up of the Kiwi Ferns or the Broncos from entering a side dominated by Queensland players.
It was also reported the $3.75 million allocated to the women's game for the next three years under the Collective Bargaining Agreement will go towards player payments.
George believes the Warriors deserve some financial assistance from the game's governing body due to the success and prominence of the Kiwi Ferns in helping to grow the women's game and to help with logistical costs and the payment of players.
"I think we're entitled to some assistance for sure because New Zealand are a major part of the rugby league landscape and we drove that through our NRL participation," he said.
"And to enable us to participate in it would be great for the growth of the game for both genders.
"But we haven't even seen what the commercial opportunities are with the competition, so is it going to be televised, are the broadcasts going to be a part of the broadcast deal or is it an additional discussion.
"There's all those sort of things but we'd be very excited to be a part of it."
Greenberg confirmed the new program would also feature:
* A stand-alone State of Origin match (formerly known as the Interstate Challenge) between New South Wales and Queensland, played during the NRL's representative weekend in mid-June
* State League competitions, with grand finals to be played as double-headers prior to Women In League Round matches
* A National Championships Carnival and Talent Combine, congregating the best state talent on a national stage and providing a sequential pathway for female players to progress to the elite level
* The Jillaroos playing international matches in the Pacific and New Zealand
* The Jillaroos competing in the Commonwealth Games Championship in Redcliffe, ahead of the 2018 Gold Coast Commonwealth Games
