The 43-year-old replaced Sam Allardyce as manager at Ewood Park in December, but the club are currently just two points above the drop zone.
“Do I think about quitting? Not for a day, not for a second. It just makes me more determined to go out and win,” said Kean.
“I think the criticism has been harsh. There was little written or said when we got a point at Arsenal.
“Then the whole world is going to end because we have drawn a game [at home to Birmingham].”
“It has been difficult to take. It’s in your face all the time and even the local paper is negative,” he added.
“The lads don’t like it. David Dunn and Phil Jones are from around here and they feel it is harsh.
“I can understand the frustration of the fans. We are sharing it too. But we are going to use it and harness it in our favour.”
