Spencer Harris insists the National League are in a no-win situation and some clubs will feel aggrieved whatever way they decide to close down the season.
The campaign has been suspended indefinitely due to the coronavirus crisis with the League board now focused on deciding how to award promotion and relegation.
The National League has advised clubs in its three divisions to vote in favour of ending the regular season without playing games that were scheduled up to April 25.
If the vote passes, clubs will then be asked to help “determine the outcomes of the season” through further polls with a decision expected to be made this week.
Wrexham director Harris says whatever route the league goes down, there will be teams that won’t be happy with the ruling.
“This virus is affecting people in so many ways across the world,” said Harris. “The world seems to have changed dramatically since we communicated on March 17.
“The National League have suspended the league indefinitely. They haven’t cancelled the league, they have suspended it indefinitely because nobody knows how long this is going to go on for.”