Clarke has made a hugely successful career as an assistant, working under Jose Mourinho at Chelsea and Kenny Dalglish at Liverpool.
And after masterminding West Brom's opening day 3-0 win over the Reds, Lukaku believes that the Scot, in his first full managerial role will find success at the Hawthorns.
He told reporters: “We saw what he did for many years at Chelsea, where he was a great assistant coach working with Jose Mourinho.
“Now he’s showing everybody he can do it in the top flight as a manager. The gaffer knows the game. And if you know the game, you can manage really well."
|66/1||West Brom are 66/1 to replicate their opening day success and beat Tottenham 3-0 on Saturday with bet365|
The Belgian forward hit the ground running by notching the third in the stunning opening-day success but insists that Albion must not get ahead of themselves just yet.
Lukaku added: “If we can play like we did against Liverpool, we’ll have a great season. But we have to be humble and realistic because sometimes we’ll have bad games.
“Getting a win against Liverpool was the most important thing and the goal I scored was just a part of it.”