Asked if he was more world-weary than when he became Foreign Secretary last May, he replied that he was not.
"If I was, I would be going to Scotland," he said. "I very much enjoy the world and I hope to have a long session with it."
An attempt to squash the stories last weekend had failed, he said, so he would try again.
"I have a very full agenda for the Foreign Office in the future. I want to make it more open, accessible, modern, representative of modern Britain, responding to the needs and wishes of the people. These are long-term projects," he said.
The longest stint as foreign secretary this century was Lord Gray's 11 years, he added. Although he might not make that he "wouldn't mind a crack at" the post-war record of six years, set by Geoffrey Howe.
Rumours that he and the Scottish Secretary, Donald Dewar, had a bitter rivalry over the job were untrue, he said. The suggestion was "mildly upsetting" - the two men were the best of friends and had actually spoken in the last week.
"I am staying as Foreign Secretary, I am not applying for any other job in Scotland or anywhere else we have discussed this afternoon," he said.
Everyone in the new Scottish parliament would find it a "very rich and exciting job. "But for better or worse, I am happy to be in a job I enjoy very much and I am not in the market for looking for a new job," he said.
Mr Cook had been pressed on the subject by Diane Abbot, the Labour MP for Hackney, during a session which mainly centred on the Government's policies on human rights.
"I think it would be a fundamental human right of the committee to continue to see me for many years to come," he said.Reuse content