The 21-year-old received a rating of 6.04 from whoscored – the worst in Liverpool’s midfield.
The Red’s boss Brendan Rodgers substituted Can at half time and replaced him with Alberto Moreno.
Can made one tackle, two interceptions and no clearances. The Germany u21 international had a passing accuracy of just 76.3%.
The former Bayer Leverkusen man was called up to the Germany national team this week.
Liverpool take on rivals Manchester United in their next Premier League game at Old Trafford.
West Ham: Randolph, Tomkins, Reid, Ogbonna, Cresswell, Obiang, Kouyate, Lanzini, Noble (c), Payet, Sakho
Liverpool: Mignolet, Clyne, Skrtel, Lovren, Gomez, Lucas, Can, Milner, Firmino, Coutinho, Benteke