The defender scored on Sunday as the Bianconeri racked up their 11th straight Serie A win and then targeted a clean sweep of honours
The Bianconeri fell behind to a Mauricio Pinilla strike in the first half of Sunday's encounter - who was later sent off in the dying stages of the game - but Fernando Llorente levelled before the break.
The Spain international struck for a second time on 76 minutes, with that strike sandwiched between further goals from Claudio Marchisio and Lichsteiner.
Victory for Juventus saw the reiging champions extend their winning streak to 11 games and advantage over second-placed Roma to five points, with the Austria international targeting a clean sweep of domestic honours.
He told reporters: "We need to focus on all three goals. We have quality and incredible organisation and we all believe that we can do it."
Lichtsteiner has made nine Serie A appearances so far this season, with his strike on Sunday his first of the season in the league.