Solanke is a target for Rangers, but he is aiming to take a step forward in terms of both appearances and goal return.
He told liverpoolfc.com: "I've got my first goal now so obviously [I want to] build on that, get as many as I can this season and keep improving and help the team as much as I can."
The striker is also excited by the potential uplift provided by club's new signings, such as midfield duo Fabinho and Naby Keita.
He continued: "It always gives you a boost, bringing news players in to help the squad. We had a really good run last year so hopefully they can help us a lot this year."