Chelsea chief executive Peter Kenyon has refused to deny that he had made an illegal approach to the England full-back Ashlet Cole.
Chelsea boss Jose Mourinho, Kenyon, agent Pini Zahavi and Cole were reported to have met last week and Arsenal manager Arsene Wenger has demanded an explanation.
But Kenyon insisted that Chelsea would not comment on the rumours.
“We’re not going to add to the speculation, you’ll never end it,” Kenyon told BBC radio.
“We can’t just knock back every story. We don’t want to debate it any further because that is club policy.
“There’s lots of talk about Ashley but in the weekend’s papers there were other players linked. As far as I’m aware he is under contract to Arsenal.”
A comparison has been made between the Cole situation and the last year’s rumours surrounding an alleged approach by Chelsea to England coach Sven Goran Eriksson, but Kenyon was not prepared to comment on the parallels.
“The reality is the Sven situation happened, we’ve moved on and what we want to do is build Chelsea and do what we do best,” he added.
“There’s so much good stuff going on at Chelsea, on and off the field, and it’s sad to talk about this, the quicker we get on with the real issues and move forward the better we all are.
“I think we conduct ourselves in the right manner, we certainly don’t view ourselves as above the law.”