Mr. Hoekstra did not provide details, including who may have told Mr. Rodriguez not to destroy the tapes. The lawmaker said it was important to have Mr. Rodriguez testify before the committee to get his version of events.

A lawyer for Mr. Rodriguez, Robert S. Bennett, challenged Mr. Hoekstra’s comments about what agency officials told his client.

“Nobody, to our knowledge, ever instructed him not to destroy the tapes,” Mr. Bennett said. “Had the director or deputy director or general counsel told him not to destroy the tapes, they would not have been destroyed.”

Mr. Rizzo was the first C.I.A. official with direct knowledge of the events surrounding the destruction of the tapes to appear before the House Intelligence Committee, which is in the midst of an investigation that could last for several months. Gen. Michael V. Hayden, the C.I.A. director, testified before the committee last month, and lawmakers have said they intend to call several current and former officials from the C.I.A. and the White House to appear before the House panel.

A federal prosecutor, John H. Durham, is currently leading a separate criminal investigation to determine whether Mr. Rodriguez or other officials may have broken any laws by destroying the tapes or concealing them from the courts and the national Sept. 11 commission. The tapes showed agency operatives using harsh interrogation methods on two Qaeda detainees, Abu Zubaydah and Abd al-Rahim al-Nashiri.