The Eagles could have secured a top-six spot with victory over south London rivals Millwall but had to settle for a goalless draw in a scrappy, nervy encounter.
Yannick Bolasie came closest to breaking the deadlock with a 25-yard drive which forced a stunning one-handed save from Lions goalkeeper David Forde.
Palace are now without a win in nine matches but a point at home to Peterborough should be enough to extend their season.
Holloway said: "I've been confident in my team all along. The fact is we have had an horrendous run, but sometimes you have to enjoy what you get.
"We were a threat, we looked solid and I thought everyone in my team played well so let's enjoy this one.
"Then we've got another one to enjoy on Saturday and we are one of the lucky teams, we are at the right end.
"We need one more point and with a performance like that I can see us getting it. I want to get Palace in the play-offs and if we do get there I think we'll be a handful."