"Frankly, both the administrations, every administration, Republican and Democrat alike, we provide arms sales necessary, consistent with that one-China policy", Pompeo said when answering questions from Republican Senator Cory Gardner during a nomination hearing at the Senate Committee on Foreign Relations. "I cooperated with multiple investigations".
Pompeo and Menendez had a contentious exchange to open the hearing.
Booker then pressed on, asking repeatedly, "Yes or no, do you still believe gay sex is a perversion?" Trump fired Comey less than two months later.
Mr Pompeo declined to say that Mr Trump should pull out of the Iran nuclear deal unilaterally and pledged to counter Russia's attempts to undermine Western democracy. "I don't recall what he asked me that day, precisely", Pompeo said.
In declining to discuss his conversations with the president, Pompeo clarified that he wasn't asserting executive privilege. "He has never asked me to do anything that I consider remotely improper".
However, when asked if he would resign if Trump moved to scuttle the probe by firing special counsel Robert Mueller or the deputy attorney general to whom he reports, he said no.
Trump's National Security Adviser John Bolton said in a statement that Pompeo is "a talented and experienced public servant" and said the administration needs him as secretary of state "as we support the President and take on some of the toughest foreign policy issues of our time".
"I haven't given that question any thought".