Clarke was delighted with Albion's second-half performance and their flying start to his first managerial job.
"It was a good afternoon for us, It was a good game for us. Everton came here in a good moment but we arrived also in a good moment," he said.
"I thought the first half was a bit too cagey, too good teams feeling each other out. But in the second half, when the game opened out a wee bit, I thought we were good value for the win.
"But seven points from nine is a good start and gives us something build on."