Suggestions that Glenn was to secure the services of the pair for £3m are off the mark, says the Hammers boss.
"I just think it is agents flying kites to try and get other clubs interested," he explains.
"I can absolutely guarantee I have made no bids for those players.
"But I suppose it is quite convenient for the agent to use West Ham as trying to get some interest from other clubs, and there is nothing I can do about that."
Glenn is working hard behind the scenes to get some fresh faces in, though, and he says: "I have a list of players in priority order and we are working our way through those at the moment; there are lots of possibilities.
"We want to be able to bring in three or four players and I have got a decent amount of money.
"But I've got to spend it carefully and wisely because if I make any mistakes I'm not going to be allowed to rectify those later in the year.
"We are looking at all positions; I suppose like any new manager when he looks at his squad of players he will have his own ideas about players.
"We have got a very decent squad but there are a few weaknesses that need to be filled."
Understandably Glenn does not want to reveal the positions he is looking to strengthen, and he adds: "It would be very unwise; why tell people what you are doing when it could make other clubs jump in ahead of us.
"I don't want to enter a Dutch auction with players because I have to spread this money carefully.
"I'm certainly not idle every day - I'm living my life on the mobile phone, which goes with the job.
"We are trying to bring in a few players and sometimes you go up blind alleys and have to start again.
"I have managed in the First division and have already had an insight into what the job entails.
"But at a club the size of West Ham, everything is of course magnified many times.
"I'm sure eventually we will get those players in that we want and I'd hope there will be a minimum of three new signings by the time we go to Anfield.
"But until their signatures are on contracts we'll have to wait and see.
"I'm making every effort to bring players in to make us a better team."
Glenn says that he has not yet completed the signing of Sebastien Schemmel - but hopes to in due course.
"There is still a fair bit of work to do yet but I am still hopeful we will get Sebastien at what I perceive to be the correct price where we are not paying over the odds," he says.
"He didn't let the club down last year."