That was Ranieri's first season at Leicester, Burton had a change of manager mid season.
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Both burton and Leicester had stability on the pitch where it counts. Leicester you could argue was a element of luck, new manager comes in hits the ground running, a few new additions to the team, no real injury issues or suspensions, a payer of the year, goals, confidence and importantly the fans behind them.
Burton again had stability this time on and off the pitch, working to there means. Confidence of the back of there league 2 title that continued. A settled side, yeah sure gary rowett left to join Birmingham but they brought in a experienced manager in nigel cough. A man who had spent years at the club before, knew the club well and infrastructure. I don't believe he changed the team just steered the team on the path it was already on.
Bottom line is stability on the pitch.