Sidwell believes a number of factors put Hughes, who signed the midfielder twice – at Fulham and then Stoke, in the firing line prior to his sacking last month.
“You could probably see it going that way with ins and outs, recruitment and players they lost,” Sidwell told the Brighton Argus.
“I still keep in contact with a few of the lads there and they said you could see changes coming.
“Under Mark Hughes you still had the same manager, the same mentality, the same ethos.
“For some reason it just wasn’t working out on the pitch. A change was made and, as always seems to happen, the team picks up.”
Uwe Rosler was sacked by Fleetwood following a 3-0 reverse at Doncaster which condemned Town to a seventh straight defeat in all competitions.
Cambridge interim head coach Joe Dunne was pleased with how his side adapted to beat Grimsby 3-1.
Southend manager Chris Powell led the applause for Jason Demetriou after the right-back scored twice in the 3-1 win against Portsmouth at Roots Hall.
Morecambe boss Jim Bentley was the happier manager after Gregg Wylde's 90th-minute strike earned his side a point in their 1-1 draw with Forest Green.
Manager Gareth Ainsworth described Wycombe's 2-0 win at Cheltenham as a thoroughly professional performance.
Skipper Richard Wood scored the winner just before half time as in-form Rotherham pulled off a 1-0 victory at League One leaders Shrewsbury.