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
A "crippling" and "potentially historic" blizzard is set to hit the US, possibly leaving up to 30 inches of snow.
The abusive pasts of more than 1,300 violent partners have been disclosed under a scheme introduced less than a year ago, new figures show.
David Cameron has said he wants to cut taxes after the next election because British people "deserve a reward" following years of austerity.