Spireites boss is defiant that Chesterfield will keep fighting for a play-off place until it's mathematically impossible.Chesterfield's season refuses to fizzle out and Cook's side now find themselves six points off a top seven place with five games remaining.
That gap would have been just four points but for a later equaliser from League Two 'Player of the Year' Tom Pope.
The big striker, now on 29 league goals for the season, headed past Tommy Lee with just five minutes left on the clock.
Speaking about his side's play-off aspirations, Cook said: "The good thing for us is that we play the teams around us. Fleetwood, Bradford, and Exeter, they are all in front of us.
"We know what we have to do. We can only prepare for Saturday's game. A little bit ago we thought the season was over with eight games to go but it’s not over. Until it’s mathematically impossible, our season will not be over. We’ll keep fighting until the end.
"The Burton and Port Vale games show that we are a match for teams. Unfortunately, we haven’t had enough days like that.
"We are a good side in this league and get a lot of respect off the other teams. We are a tough nut to crack and there are five games to go. Our target is to win all five and that starts with Barnet on Saturday."
Chesterfield's opponents, Barnet, find themselves in a good run of form at the moment. The Bees are unbeaten in their last four games and haven't lost at home since the turn of the year.
Despite Edgar Davids' side being in the thick of a relegation battle, Paul Cook knows his side will have to be at their best if they are to come home with three points.
He said: "All games are tough. There's games where people think you will be okay and you’re not, and games where you think you’d struggle, you are [okay].
"We treat everyone with respect; Barnet beat us here 1-0, we go to them on Saturday knowing how tough it will be but if we go down there and play well then there’s a good chance we win the game.
"We don’t want to go sitting back and accepting a point because at this stage of the season, if we lose trying to win I don’t think it’s the end of the world. Everyone knows we want to win the game. If we can get three points then it puts pressure on the teams above us. If we lose the game trying to win then I will be disappointed but it will certainly be trying to win a game that we must win."
Watch the press conference, in full, only on Spireites Player.