City are sixth on the league table with 35 points - four points behind fourth-placed Kaizer Chiefs with four matches left in the season for Benni McCarthy's side, who recently bowed out of the CAF Confederation Cup and the Nedbank Cup.
Putsche, however, is drawing confidence in the home stretch from City's 1-1 draw with high-flying Maritzburg United at Harry Gwala Stadium this past weekend.
“The character we showed against Maritzburg should be motivation for us to secure a top-four finish, which is still very doable,” Putsche tells KickOff.com.
“You must remember Maritzburg is not an easy team to beat no more. They have a different system to the way they played before and they are very good. So for us to come away with a point it’s not bad."
McCarthy's men will welcome SuperSport United to Athlone Stadium in their next Absa Premiership clash on Saturday, and Putsche is well aware of the threat posed by the relegation-threatened visitors.
According to the Austrian, City will have to rectify their shortcomings in attack if they are achieve their target come May 12.
“We are definitely in for a fierce battle as SuperSport need the points so they will pose a big threat,” Putsche explains. “But we are not afraid of any team. On our day we can beat anyone in the league.
“We have also changed our system from last season. We play good football, nice to watch but at the end of the day we have nothing to show for it.”