The Dutchman scored in Liverpool’s 4-1 win over Portsmouth.
The 23-year-old was linked with a move away from the Reds in the January trasnfer window.
“I was always happy at Liverpool,” Babel told the club’s official website.
“Slowly I’m feeling stronger. Hopefully now I can continue to get stronger. With every game you’ll start to see the best of me.
“Obviously you’re always frustrated when you can’t show people what you can do – but that’s not just me, that’s every player.
“But that’s the past and now I want to go forward here at Liverpool.”