The Germany u21 international came on as a substitute in the second half in place of Adam Lallana. Can was fielded in his favoured midfield role rather than in defence.
The 21-year-old played the majority of last season at centre back and at right back.
Philippe Coutinho scored the games only goal with a stunning strike from outside the area.
Liverpool were defeated by a 6-1 scoreline at the hands of Stoke City in the final game of last season.
The Red’s did not have the best record at the Britannia. The Reds had won just two of their last seven away games against Stoke in all competitions until today.
Summer signings Benteke, Milner and Clyne all made their Liverpool debuts today. Liverpool take on Bournemouth next weekend at Anfield.