Speaking ahead of Sunday’s Scottish Premiership meeting with Rangers, Kennedy insisted talk of him moving to an upstairs role at Parkhead was “made up”.
He added:" Someone’s obviously had a guess at it and I think because there’s been so much speculation around the manager and behind the scenes, how it might look, people start trying to piece things together themselves.
"I’ve not had any discussions with anyone here around that role at the club so it’s not really something I can comment on as it’s not been discussed.”
Asked if he would prefer to remain at the club in a similar sort of role if he wasn’t involved in the coaching side of things, Kennedy replied: “Again, it’s not something I’ve considered or spoken about so it’s difficult to really commit to anything.
"I’ve always been very much about the challenge. When I started out as a youth coach, I always felt progression was important for me and my career.
"I've never been in a huge rush to jump from being a youth coach to managing at the highest level possible straight away.
"If I feel challenged, in the right environment, and I feel like I’m progressing in the right way I’m content with that, and I’ll take my time with that.
"I've always, year on year, felt like I’m going somewhere. I’m in a good environment working with good people and collectively we have something to strive for.
"I’ve always had the steps in terms of going from youth to reserves, to first-team coach and assistant manager and now the position I’m in at the moment.
"At the end of the season, I’ll sit down and consider what my options are, and what the right thing is for me to do alongside what’s available.
"There’s nothing in it; it’s pure speculation regarding the director of football thing and in two or three weeks time I’ll be sitting down and considering what my next move is.”