Due to current social distancing measures and travel restrictions, the Cowboys could be among five teams to be forced into temporarily relocating in NSW.
Green said the uncertainty around the game’s short-term future meant he had yet to talk to his playing group about shifting base.
“There’s so much still up in the air that we haven’t really gone down that path too seriously yet,” Green said on The Sunday Footy Show.
“I will say we’re committed to getting the comp back on and we’ll do whatever we can, but we have to balance that with what’s feasible and healthy for our players.
“We haven’t had serious discussions around that, only because there’s too many questions that can’t be answered at the moment.”
There is also some hope that the interstate travel restrictions could be eased, raising the possibility of non-Sydney clubs returning home.
The NRL utilised chartered flights for some teams, including the Cowboys, in round two before the coronavirus forced the league to suspend its season.
Green predicted game-day flights could become the new norm, but said there were other hurdles to overcome in their preparation.
“I think the challenge is how much time is actually spent at the ground,” he said.
“You don’t want to arrive too early, you don’t want to arrive too late either. So it’s finding that sweet spot around when you can.”