Club owner Mike Ashley dropped something of a bombshell last month when he parachuted 66-year-old Kinnear into St James' Park and handed him responsibility for all football-related matters.
Pardew, who was on holiday at the time, kept his own counsel as managing director Derek Llambias voted with his feet and resigned, but the 51-year-old manager is ready to give it a go.
He told BBC Radio Newcastle: "I'm very open-minded to Joe's position. I will take it as I see it.
"People who work with me will know that I am my own man. I will manage this football club and manage this team to the best of my ability.
"On the back of last year I am even more motivated to do well this year."
Kinnear's first few days in the post did not go well as he conducted a series of interviews in which he muddled up facts and mispronounced the names of some of the club's senior players.
Pardew said: "Some of the things Joe said he has apologised for, especially getting the names wrong of our players.
"That needs to be corrected because there is a certain respect needed there.
"I spoke to one or two players and my staff here and made them very aware of where the position lies."