The France U21 striker completed his £79m switch from Eintracht Frankfurt this week.
Ekitike touched down in Hong Kong on Friday to join his new teammates and manager Arne Slot for the first time.
He told liverpoolfc.com: "I feel very proud. Obviously it’s a big, big club. I’m just excited, I’m a bit like a kid. I’ve been dreaming to come and play in the Premier League. And to play for Liverpool is a big, big good feeling for me. I just can’t wait to start to play games and to win trophies.
"I think that was the right moment. I came to the Bundesliga hungry, I wanted to show that I’m a good player and I can make the difference on the pitch. I think I did well last season. Now, I feel ready to make a bigger step and to play on the highest level, to improve myself, to see what I can do. That’s why I think it’s the right timing for me and the perfect moment to come here."
On joining Liverpool's squad in Hong Kong, Ekitike continued: "Yeah, obviously things go quick. I signed my contract and I came straight here. Obviously it was a long flight but I was really excited to come here and meet everybody. It was quick but I enjoyed every moment I had. I live day by day so I enjoy every time I have here. I’m just excited."
On SGE and their fans, Ekitike is confident he leaves no bitterness behind.
He also said, "I’m really grateful to them. I could express myself. I found family there, really nice people. They took time, they have been patient with me. I made mistakes also on the pitch, and I could improve.
"That’s the best way to learn and become a better footballer and better person, because I think I have been growing on both sides. I’m just really, really grateful and they’ll stay always in my heart."