The 29-year-old is preparing to face Clarke's predecessor at the Hawthorns, new England boss Roy Hodgson, in Friday's group encounter in Kiev. Olsson has only one year left of his current Albion deal and has been strongly linked with a summer move to Tottenham.
"I think Steve Clarke can do very well for us," said the Swede. "I spoke to him briefly the other day and he seems like a nice man. He has done well with the teams he has coached so I am happy. I think it is a good appointment and I think he will do well for West Brom."
When asked whether Clarke could persuade Olsson to stay at West Brom, he said: "It's not in my focus right now, my future at West Brom.
"I'm just going to focus on this tournament and the game on Friday against England.
"I've said all along I would think about my own position after the European Championships and nothing has changed.
"I'm just concentrating on trying to help Sweden get the two wins we need after losing to Ukraine to ensure we qualify without having to worry about other results."