The Lancashire outfit have failed to win any of their opening five outings and currently lie bottom of the Premier League.
Their exploits in the Europa League appear to have had a detrimental effect on domestic performances but Cork is refusing to panic.
Burnley, who finished seventh last season, had to endure a sticky spell, which saw them go 11 games without victory from mid-December to the start of March, and Cork insists they can draw on that experience.
Cork said: "Yes, definitely. We came out of that patch and won five games on the bounce and that's what we need to do now.
"We came out of that period strong and pushed on until the end of the season. The momentum helped us last season and pushed us higher in the table than we thought we would be.
"Even if we'd have carried on losing we would have still finished the season in the top half of the table. We know that we've got the players to get out of this."