Huub Stevens' side remained in the hunt for the championship for long periods of last season, before seeing their arch-rivals pull away and retain their crown.
It seemed that Farfan was set to leave the Veltins Arena for much of the past campaign, only for him to sign a new deal keeping him at the club until 2016.
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"I want to play for first place all the time over the next four years," he declared to Bild.
"We have a very good team - one that could even win the championship this season. At the very least, we should return to the Champions League."
Schalke have been dealt a blow by the departure of Raul this summer for Al Sadd, but Farfan has called on his team-mates to band together to make up for the Spaniard's absence behind the main striker.
"No single player can replace Raul. But we can make it up as a team. The exact role is in Huub Stevens' hands. The right wing is perfect for me.
"But if the coach wants me to, I can play as a second striker. I am determind here. I want to score 10 goals. I must be selfish."