Clarke insisted he gained no extra satisfaction from defeating Liverpool.
"It doesn't give me any extra satisfaction winning this game. If I was sitting here and we had played someone else and won, I would be just as happy.
"I've got no axe to grind with Liverpool."
Clarke was unsurprised by the quality of his side's performance.
He said: "I think I've been in the game long enough to know you enjoy these moments but you know there are different Saturdays to come. But the performance today showed these players are comfortable in the Premier League.
"They've been there for two seasons, they've finished mid-table both times, they know they can handle themselves at this level. I wasn't worried about the game. I knew it was a good game for us to start with, that there was more pressure on Liverpool than us and that proved to be the case.
"But I was really pleased with the way we played."