The Chelsea midfielder and the Manchester United defender, who both played under Harry Redknapp at West Ham, have been linked with a free transfer to Loftus Road this summer
Following QPR's Championship playoff final victory over Derby on Saturday, Harry Redknapp's side has been linked with both players, who are out of contract this summer.
But Beard maintains the club has scheduled talks for Friday to finalize its list of transfer targets.
"We're used to it at QPR now. We're linked with everybody, so it's no surprise," Beard told Sky Sports.
"They are fantastic players, I'm sure Frank Lampard, at the moment, is worried about a certain tournament in Brazil.
"Anything you're going to read over the next few days is pure speculation. Tony [Fernandes, QPR owner] is in London, the other owners are either in London or have traveled back to different parts of the world.
"We've arranged to talk on Friday. That's when we're going to sit down with Harry and with some of the scouts. We've got lists of players, but I can promise you that anything you read at the moment is pure speculation."