Adrian Bevington insists no snub was intended towards England fans after players failed to acknowledge them in Warsaw.
Torrential rain from early Tuesday afternoon led to the game being called off an hour after the scheduled 8pm BST kick-off time and it will now be replayed on Wednesday at 4pm.
Some supporters were reported to be unhappy, after standing in the rain for so long, that the players did not come back out and say thank you for their support in such atrocious conditions.
But Club England managing director Bevington stressed: "We have made it clear, frequently, just how important the supporters are to us. These are pretty unique circumstances.
"We had said to the players to get changed significantly earlier than when the game would be called off because we didn't think there was any chance of the match being played, but we didn't want it to look as if we'd made their decision for them.
"There's nothing but respect for those fans who have travelled all that way. There was no disrespect intended."
Bevington added: "The most important thing here is that, while there are issues of disappointment for all the fans who have travelled, the safety of the players on the pitch is paramount.
"That has to be the priority. We were not able to confirm anything (about the game being postponed) until we were told ourselves.
"We were asked not to confirm anything until we were told by the referee at 10.05pm.
"It's extremely regrettable for all supporters who have missed out tonight.
"Hopefully the game goes ahead at 5pm (local time) tomorrow with supporters in the stadium."
England striker Wayne Rooney echoed the sentiments of Bevington towards the 2,000 supporters inside the National Stadium.
He tweeted: "Thanks to the England fans who came tonight. Sorry we couldn't come out of the tunnel to see you but we all really appreciate your support."
