Australian broadcaster Channel 9 made the claim - the England and Wales Cricket Board has since demanded "an explanation and an apology" - midway through an Ashes series riddled with Decision Review System (DRS) controversies.
England batsman Kevin Pietersen was quick to reject the report and Cook echoed his view, telling the Australian media: "Clearly there are some people at home trying to think up some theories. All this stuff about silicone edges, obviously that's a whole load of rubbish.
"Players have been using tape on their bats for years to protect the bats and make them last longer.
"The whole story needs to be rubbished because it was rubbish. I don't want to give it any more miles."
On the issue of DRS, and the way it is being implemented, he added: "I don't know whether it's just Ashes cricket and something always seems to happen...it has worked really well in the past and the bottom line is it has been getting more decisions right.
"Obviously at the moment there have been a few quirks in it that decisions that we thought would be changed haven't been changed and vice-versa.
"That's why I think both sides are getting a little bit confused by it.
"Some clear nicks haven't shown up on Hot Spot. It has been strange and we just can't quite work out why it's happening. But like all these things there are always big evolutions and hopefully the technology can get it right."
England have already held their briefing with International Cricket Council (ICC) specialist Geoff Allardice on the ins and outs of the DRS - and it is now Australia's turn.
The ICC was moved to make clear Allardice's arrival at Chester-le-Street, where the fourth Investec Test starts on Friday, was unconnected to the Channel 9 report.
"Geoff Allardice is meeting with both teams and umpires to see how we can best use the DRS and the available technology, going forward in the next two Test matches," ICC chief executive Dave Richardson said.
"It has nothing to do with any players."
When contacted by Press Association Sport, a Channel 9 spokesperson said "we are not commenting at this stage".