WASHINGTON  The chairman of the Federal Communications Commission said Thursday that he believed it was “unacceptable” for Internet service providers to offer faster Internet transmission to content providers willing to pay higher fees.

“Any outcome, any deal that doesn’t preserve the freedom and openness of the Internet for consumers and entrepreneurs will be unacceptable,” Julius Genachowski, the F.C.C. chairman, told reporters on Thursday.

His remarks came in response to press reports that Google and Verizon were nearing an agreement about broadband management that could clear the way for Verizon to consider offering such a service. The two companies declined to comment on any potential deal.

Many Internet purists believe that a system that includes a sort of toll lane for faster routing of some content to Internet users violates the long-held tenet of net neutrality, which holds that no form of content is favored over another. But a federal appeals court said in April that the F.C.C. did not have the authority to regulate how Internet service providers manage their systems.