Coyle will celebrate two years in charge of the Clarets this weekend.
Akinbiyi told the Lancashire Telegraph: "I'm not saying Burnley are Manchester United, but he puts me in mind of Sir Alex Ferguson with the way he works with the whole club - from the first team down to the reserves and youth team," he said. "He wants everything to be perfect, and if you're working for a manager that's how you want everything to be.
"With the little money he's had he's got them into the Premier League. Imagine what he could do with a big budget! But he's shown managers all over England what is possible without one. He's probably made a lot of chairmen happy too!
"But it all boils down to the way he is with people.
"He likes to have a laugh, but it's never at the expense of getting the job done.
"Monday's the first day of training and getting back into it after a game, Tuesday's serious, Wednesday was our day off, Thursday we concentrated on tactics but on Friday we were allowed a laugh, and that really helped us to relax before a game.
"But come kick-off time you knew you had to get to work, and if you got a result, then you could relax again."