The Eagles are now one point above the relegation zone after a 10th loss of the season.
"We have put ourselves in a position where we can challenge with about seven other clubs and that's what we wanted to do," he told the club's official website. "If you look at it from the position we were in when I came to the club, it has been remarkable.
"The players have done a great job but what we have got to do now is try and stay in it right until the end and get as many points as we can.
"We have played all the top teams away from home so it is now up to us."
Palace return to Premier League action on Saturday when they welcome West Bromwich Albion to Selhurst Park.