Cisse scored on league debut in Saturday's draw with Tottenham and has promised Liverpool fans he will get a lot more.
"It was a dream start for me to score. I've always wanted to play in England," said Cisse.
"Of course now that Michael Owen has left I know everybody at Liverpool wants me to score the goals he scored. All I can say is that I scored many goals in France and I think I can do it here too.
"First of all I have to settle. That can only come game by game but it was great to score my first goal and that can only bring me confidence.
"Once Steven Gerrard and Milan Baros get to know me better and the way I play it will get better for all of us. It's not a problem. I am sure I will score goals for Liverpool."
