Pardew came under pressure toward the end of last season as his side became mired in a relegation battle and his position was widely thought to be under threat.
Kinnear's appointment served to increase the press speculation over his future but Pardew is determined to see the job through.
"I won't run away. I won't hide," he said. "When we finished fifth (in season 2011-12), I didn't have to show too many sides of my character because the team was doing well.
"A lot of adulation came our way and we had some fantastic performances, and the momentum was with us.
"Last year, I couldn't have had any more turmoil put in front of me with injuries and the Europa League, but I think I showed the fans that I am resilient.
"I'd like to think through all of the adversity last year, I tried to carry the club with a bit of respect.
"I didn't lose my control or lose my temper with the players - or the press.
"Those qualities will serve me better this year. Hopefully we will have a more successful season."