Manager Arsene Wenger has already ruled the north London outfit out of the hunt for the title after just seven games, with their latest result, the 2-1 loss to rivals Tottenham, leaving them in 15th in the league and just two points above the relegation zone.
Song has been playing in a central defensive role following Arsenal’s recent injury crisis, a predicament that worsened with the broken leg suffered by full-back Bacary Sagna, but the midfielder insists the side need to push on and put the anguish behind them.
He told Arsenal Player: "We need to just keep going. We can't lose games like this, it is not normal. We are not allowed to do it, for the fans and for everyone who loves Arsenal."
He added: "We need to learn from this one for the future because we are not in a good situation at the moment.
"When everybody comes back we will feel very good and strong. We need to keep our heads up and try to push ourselves to learn and give the best for the future."
Song added: "Arsenal being in this position is not normal. We now need to show something very good, not just for the fans, but for us as well.
"Arsenal always fight for the first place, the top places. Now we are not in a good situation."
As the clubs in the Premier League take a break this weekend for a round of international fixtures, Arsenal’s next game won’t come until October 16 when they face Sunderland, and Song is after a response when the Gunners return to action.
He added: "It is very important for us to come back after the [international] break with a winning mentality. We want to show that we are not down, we are here and we can do something good.
"The next five games are very important for us. We need to win every single one to come back and show the fans that we are ready and that we are to fight for the league."