The Hoops manager is furious that none of his players were on the four-man shortlist, which includes Motherwell striker Michael Higdon, Inverness midfielder Andrew Shinnie, Hibernian forward Leigh Griffiths and Aberdeen striker Niall McGinn.
Kilmarnock boss Shiels was quoted in a number of newspapers saying: "Celtic make a song and dance about everything, don't they? Paranoid FC.
"I think they deserve to maybe have one in with Kris Commons, who is a good shout, but I wouldn't get all paranoid about it. It's the players' thing, they deserve credit for how they vote."
When asked if he understood why the Celtic boss was standing up for his players, Shiels said: "Certain managers are egotistical. I think the (list of) four nominees is a fair assessment of who's done well."
He then revealed who he would have voted for, saying: "Andrew Shinnie has been right up there as one of the best this season.
"I can only judge against us and Shinnie, Michael Higdon and Leigh Griffiths have all done well.
"Who from Celtic would come into the category? How many games did Kris Commons play? James Forrest got young player of the year last season and he only played about 20 games."