When asked if the Europa League was now the club's main focus, Rodgers told reporters: "Yes, absolutely. This was always a competition we wanted to do well in. We went out of the domestic cups - one early on in the season when we had a young team playing and then obviously I made changes in the FA Cup game which we lost as well.
"This is certainly an important competition for us. Between now and the end of the season - both in this competition and the league - we want to give everything we can to making this a successful season."
Liverpool reached the next round of the competition by finishing top of Group A, while Zenit entered after they were knocked out of the Champions League.