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 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."
Kinnear has been charged with the task of implementing the summer transfer plan drawn up in discussions with Pardew and chief scout Graham Carr, and the manager is hoping he will be able to fight his corner with the sportswear magnate.
Pardew said: "It is very simple for me: if Joe can persuade Mike to invest in the right manner, then that will be the best outcome for us.
"As well as we have done in the transfer market, there is always room for improvement.
"I have spoken to Joe and had a couple of meetings with him. I have told him what I think the weaknesses in the squad are.
"Let's be fair, it's a squad, not a side, and I have told him I need to strengthen, and I have a couple of ideas."