Howe left the Clarets to return to Bournemouth earlier this week, and Coyle, recently relieved of his duties at Bolton Wanderers, has been heavily linked with a return to Turf Moor.
The Scottish manager led Burnley to promotion to the Premier League in 2009, but Hoos does not believe Coyle is the right man for the job.
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“I just couldn’t see how that one could happen,” Hoos told BBC Radio Lancashire.
"Obviously I wasn't there when the whole Owen Coyle saga happened.
"But I got enough feedback to know that there was a very bitter aftertaste and I just couldn't see a way back for that one.
"It has to be the right person - the right man for right job at the right time."