Michael Gove told ITV News he was "privileged" to be part of the Prime Minister's Cabinet shortly before it was announced he has been removed as Education Secretary during the reshuffle.
"Every job in Cabinet is there on the basis of the Prime Minister's decision about who is the best individual to do any individual job," he said.
Mr Gove, who takes up the role as Commons Chief Whip, also paid tribute to William Hague as a "fantastic Foreign Secretary".
More top news
Jeremy Hunt is to announce a £4.2 billion investment to bring the NHS into the digital age.
Figures from the Local Government Association show 60,000 households will be affected by plans to end subsidised rents for high-earners.
Crime figures show a sixfold increase in people reporting a rape by someone they met on a dating app or website between 2009 and 2014.