Fallon, who scored the goal against Bahrain that sent the All Whites to the World Cup, has indicated he is prepared to put club before country, saying the decision will rest with manager Paul Mariner.
"I've told the gaffer it's up to him. Plymouth is my number one," Fallon told The Herald.
"I told him I wouldn't be upset if he didn't let me go because I know he wants me 100% for the games around that time.
"The problem with friendlies is that you can pick up injuries and I'm not really a friendly type of player. I'm all or nothing with the way I play."
Plymouth, who are near the foot of the Championship and seem set for a battle against relegation, have important fixtures against Sheffield United and Preston either side of New Zealand's friendly.
But Glading told Radio Sport he expected Fallon to be made available for the All Whites.
He said: "We have rights and they are only limited rights and they are rights that have been hard fought over the years by various associations with Fifa. So, one wouldn't just actively back down from what rights we have."
New Zealand have been drawn in Group F at the World Cup and will play Italy, Paraguay and Slovakia.
Source: Team Talk
Source: Team Talk