The idea that Apple has been avoiding taxes on overseas profits is "political crap," Cook told Rose.
"We pay more taxes in this country than anyone," Cook said in a clip from CBS News. "We happily pay it."
The tech giant has been subject to European Union tax probes on low-tax arrangements — or "sweetheart deals" as they're known — in Europe, and has continued to invest in creating jobs in .
Former U.S. Sen. Carl Levin, D-Mich., in 2013 accused Apple of shifting "billions of dollars in profits offshore" that should be subject to U.S. taxes.
Cook told Rose that bringing that money to the U.S. would cost him 40 percent — making the move unreasonable.
"This is a tax code, Charlie, that was made for the industrial age, not the digital age," Cook said. "It's backwards. It's awful for America. It should have been fixed many years ago — it's past time to get it done."
For a longer clip of the interview, go to CBS News.
— Reuters contributed to this article.