Can was in the right place at the right time to knock the ball into the back of the net.
Liverpool drew their opening game 0-0 in Klopp’s first Premier League match on the weekend and Emre Can started in midfield.
Can was played in his preferred midfield role as opposed to spending most of last season as a defender under former head coach Brendan Rodgers.
Rodgers was sacked by Liverpool before the international break following the 1-1 draw against Everton in the Merseyside derby and replaced by Klopp shortly after.
Liverpool v Rubin Kazan
Kick-Off: 20:05 GMT
Liverpool confirmed starting lineup: Mignolet, Clyne, Skrtel, Sakho, Moreno, Can, Allen, Milner, Lallana, Coutinho, Origi.
Subs: Bogdan, Toure, Benteke, Firmino, Lucas, Ibe, Randall.
Manager: Jurgen Klopp
Rubin Kazan confirmed starting lineup: Ryzhikov, Kuzmin, Kverkvelia, Kambolov, Nabiullin, Carlos Eduardo, Ozdoev, Gökdeniz Karadeniz, Georgiev, Dević, Kanunnikov.
Subs:Haghighi, Lemos, Cotugno, Akhmetov, Bilyaletdinov, Portnyagin, Dyadyun.
Manager: Valeriy Chaly