The Argentine midfielder told liverpoolfc.tv: "It was a very good result for the team and it is one of the best. It was amazing for the players, for the supporters and for everyone at the club.
"It doesn't matter who we get next. It will be a difficult game for us but it will also be a difficult game for them. After a result like this we have to believe that we can go further in the competition.
"It is all about working really hard for one another and playing as a team. That is the only way you can get results like we have had against teams like Barcelona and Inter Milan. Liverpool is one of the best clubs in the world so we have to prove this on the pitch.
"The history of the club is so special, everyone around the world knows the history and we have a very good record in Europe. We are just doing our best to try and create more history."
Mascherano was also keen to pay tribute to the vast army of travelling Kopites who made themselves heard in the San Siro.
"We know that the Liverpool fans are the best in the world," he added. "They really are amazing.
"It is very important for us because it helps us to know that our fans are with us and I would like to thank them for their support."