That has left a vacancy that is expected to be filled next March.
Despite acknowledging that there are number of suitable people who could take on the role, Westwood believes that Clarke's experience should result in him being handed a chance.
"There are a lot of good candidates but if I was asked to pick I would pick Darren," said Westwood. "He's been a Ryder Cup stalwart for many years.
"He's a major champion, he's a very good public speaker which I think has to be taken into account, tactically very astute. I think Darren has a lot of good things going for him."
Westwood has competed at eight Ryder Cup tournaments.