Parry was responding to Capital Radio chief executive David Mansfield's recent comments where he said there would be no merger with the American group, which he described as only concerned with selling burgers and cars.
Speaking to the Sunday Times, Parry said it was not the job of chief executives to rule out mergers, but shareholders.
"I am surprised that a chief executive would close doors to his shareholders in this way and I am sure that a number of his shareholders would have raised their eyebrows," Parry said.
Parry added that the way he saw it, shareholders are the owners and management exist to create value for them and "to consider any form of merger".
"Any offer would be made to the shareholders and not Mansfield," Parry told the paper. He also reiterated that there were no current plans to launch a bid for Capital Radio.
Capital has been the subject of much merger talk with the Capital FM- and Xfm-owning station being linked not only to Clear Channel, but more recently to the Guardian Media Group.
Parry also hit back at claims that there would be a culture clash between the two radio firms, addressing Mansfield's claim that there were fundamental cultural differences in approaches between Clear Channel and Capital.
Mansfield referred to comments made by Clear Channel chairman and CEO Lowry Mays, who had said that his business was all about selling hamburgers and Fords. Capital, Mansfield had said, was driven by listeners.
According to Parry, however, the comments made by Mays have been taken out of context and Clear Channel was very much interested in delighting its listeners.
"We are always painted as this wicked witch or the ogre, but we are simply a large radio company. This quote of Lowry Mays is misused. We have no political agenda, just a commercial one. We are focused on selling advertising through maximising our audience, and that comes by delighting our listeners," he said.
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