The former Chelsea No2 admits he is disappointed to see his "good friend" Roberto Di Matteo lose his job.
But Clarke, whose West Brom side beat the Blues last week, insists Russian owner Abramovich only does what is best for the club.
The Baggies boss said: "I am surprised and disappointed for Robbie who is a good friend and you don't like to see your good friends lose their jobs.
"It is the way the owner runs the club. I don't think anyone should be over-surprised at it.
"They look at results, the owner makes decisions and they act on what they feel is the right thing to do for Chelsea.
"I've always said the owners of any club can run their business the way they want to run it.
"That's how Mr Abramovich chooses to run Chelsea and it's been successful.
"It is not for me to criticise or to say it is the right or the wrong way."
But Clarke added: "Roberto has got his place in history at Chelsea, the first coach to win the Champions League.
"It is a massive achievement and he can be really proud of that."