The Reds star was filmed with a bottle of beer in his hands during the Reds' open top bus parade to celebrate winning the FA Cup and Carabao Cup trophies.
Clarke told reporters: "I saw the clip and I was pleased that he was getting over his disappointment. Some people want to make too much out of small things.
"It was the right thing to do, the right thing to celebrate with his team and his supporters on the back of a fantastic season for Liverpool.
"He has joined us in a great place and that's all I am concerned about. I don't care about criticism. It won't bother Andy and it certainly won't bother me."