"You can make a good case for all four England players, and it would be absolutely fantastic if they all made the senior squad," says Glenn.
"We will just have to wait and see, and I am not going to speculate on who might and who might not go, but I think all four have got a brilliant chance and I just hope they all get in."
Glenn is aware that a good World Cup for any - or indeed, all - of the quartet would raise their already high profiles still further.
That, in turn, would lead to inevitable speculation about their value, but Glenn is laughing off suggestions that he is selling any of his best players.
Some recent reports regarding West Ham's finest have ranged from the outlandish to the repetitive via the mischievous but, in a reiteration of what he said last week, Glenn insists: "I am not talking about any speculation except to say that it does prove that when everyone is fit we have got some excellent players at the club.
"But I am under no pressure to sell and I don't intend to sell any of the players that I want to keep at this club for the next few years. I am trying to build a squad around that group of players.
"I am not going to comment on any individual speculation - it has been there all year and I suppose other clubs have to deal with it as well.
"We are already focused on this week's game. We want to finish with a win and three points, which we know is not going to be easy, and we will just let the speculation go away.
"There is nothing to be added because there is a group of players I don't want to sell. I am not under pressure to sell any of those, and I will do everything I can to keep those players here."
Glenn is enjoying the last full week of training this season, and concludes: "In the last couple of sessions it has been a delight to be involved.
"Monday and Tuesday's training has seen them work in sparkling fashion. I just hope that will continue for the rest of the week, and we take it into Saturday's match with a high tempo performance."