Goals either side of half-time from Floyd Samba and Isaiah Dada-Mascoll gave City a deserved lead against a difficult Liverpool side.
At the other end of the pitch, Parker was part of a back line that kept a fifth successive clean sheet as City climb to fifth in the PL2 table, six points off leaders Chelsea with one game in hand.
MATCH REPORT | CITY 2-0 LIVERPOOL
And for the centre-back, Monday’s win was a ‘big win’ that will continue to give City confidence ahead of our final three League Phase games.
“It was one of the tougher games we’ve had in a while, but all the lads were up for it and it was enjoyable,” said Parker.
“Keeping successive clean sheets is a big achievement for us. We have to just go for it [in the games that remain].
“This was a big win and hopefully we can do it again.”
Watch the full interview by playing the video above...