The Drogs manager says that his side are still focused on ensuring that they are playing European football next season, despite losing ground in the title race
The Drogs are competing with Liam Buckley's side for second place, but neither side was able to capitalise on Friday evening at Hunky Dorys Park.
"Both managers will see it as two points dropped," Cooke told the Evening Herald after the game. "In the last 20 minutes self preservation took over for us and we retreated, gave St Pat's too much ground and Gabriel Sava did his job for us again."
He continued: "Pat's are very good on the ball and they ran us around a bit, maybe one or two of our lads celebrated a bit too much last weekend after winning the League Cup.
"Hope is not lost," added Cooke. "The focus is still there for us, it is two points dropped in terms of the league but hopefully it's a point nearer to Europe for us," said the Drogheda boss.
Meanwhile, Sligo Rovers moved closer to lifting the league title after they triumphed 4-1 over Derry City at the Showgrounds on Saturday September 29. The Bit O' Red are now eight points clear at the top of the table.