The Spireites manager declined to make any fuss over the late sending-off of striker Eoin Doyle and gave an honest assessment of his side's performance as League Two's early pace-setters went six games without a win.
He said: "We are on a poor run and I don't see this as a good result for us. There is high expectation at Chesterfield and rightly so because we are a good club.
Doyle had already been booked when he was shown a second yellow card by referee Iain Williamson for an 86th-minute foul on teenage winger Alefe Santos.
Cook said: "To be honest I didn't know Eoin had been booked, but he had a little tug on the lad and picked up a second yellow card. We accept the decision and get on with it."