The Scot left his role as Liverpool assistant manager in order to take the reins from Roy Hodgson, who succeeded Fabio Capello as England boss ahead of Euro 2012.
Clarke will be Brunt's fourth different manager with the Baggies, but the 27-year-old insists that such changes can have a positive effect on the squad.
"There will be a lot of players looking to impress the new head coach, which is similar to last season because Roy was still relatively new to the club," Brunt told the club's official website.
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"We have a few players who might have thought their chance at the club had passed, but they now have the opportunity to fight for a place in a team that a few months ago, they might not have got in."Clarke's first match in charge comes at home against his former employers Liverpool and Brunt insists the squad are keen to get off to a good start.
"It's important that we make things as easy as we can for the new head coach," he added.
"As players we are all pretty responsible for our actions as it is, but we need to ensure we get the head coach off to a good start."