Kean came in for severe stick from the Blackburn Rovers supporters during last night's 2-1 defeat to Bolton Wanderers at Ewood Park that left them bottom of the Premier League.
Even in a season when he has often borne the brunt of fan frustration, this was a new experience for Kean, with a further demonstration involving hundreds of fans taking place after the final whistle.
And Coyle delivered his own damning verdict.
''I do not think they have given Steve Kean any chance from the outset,'' said Coyle.
''They have their own reasons for that and ultimately, those who want to be heard shout the loudest.
''Steve Kean is a terrific coach and manager. All you want is an opportunity.
''We have the best league in the world, but we don't have the 20 best managers in the world, someone has to fill the dreaded places where no one wants to be.
''I hope he is given the time to do that because he is a genuinely nice person.''
It seems a hopeless task for Kean, whose team now face Christmas trips to Liverpool and Manchester United.
Yet the Scot insists he still expects to be in charge for the Boxing Day trip to Anfield.
''I expect to be here on Boxing Day,'' said Kean.
''I would be completely shocked if they (the owners) decide to replace me, yes.''
It had been suggested a board meeting had been convened for later today.
Given Kean was nearly dismissed earlier this month, it was expected to sound the death knell for his time in charge.
Yet the Scot insists there is no such meeting.
''There is no board meeting tomorrow,'' he said.
''I spoke to the owners prior to the game and I spoke to them at length yesterday.''
Coyle admitted he played on the home fans' anger before kick-off, telling his players if Bolton scored first, it would have a negative effect.
Mark Davies did exactly that after just four minutes. Nigel Reo-Coker added another half an hour into the contest, so it was no surprise Blackburn were booed off.
And, although a much-improved second-half display brought a goal for Yakubu, Rovers could not force another.
''I was disappointed with our first-half performance,'' said Kean. ''We never really got started and let Bolton dictate the play.
''I hope I can win the fans over but I can only do that by winning games.''
