The Welsh outfit have had four different permanent head coaches since Shelvey left the club in January 2016, most recently handing Carlos Carvahal the reins after getting rid of Paul Clement.
Carvahal has been tasked with trying to turn the tide for the Swans, who yet again find themselves in a relegation battle having slipped to the bottom of the Premier League table.
Swansea will hope to pick up just their fifth win of the season when they face Shelvey’s current club Newcastle on Saturday with the ex-Swan believing that the root of his former team’s problems lies with the revolving door policy at the Liberty Stadium when it comes to managers.
“They have chopped and changed the managers to be fair and I don’t think that has helped them,” Shelvey told NUFC TV. “I think they need to get back playing the way they played football.
“Even when I was at Liverpool you wouldn’t see the ball for a lot of the time.
“When I went there everything was about ball possession, all of our work was about the football and we were battering teams at home with the ball – even against the top teams.
“They have gone away from that a little bit which is obviously down to whatever manager they had in at the time.”
Colchester will hand late fitness tests to Ryan Jackson and Brandon Comley prior to their clash with Yeovil.
Arsenal secured their place in the quarter-finals of the Europa League following their 3-1 defeat of AC Milan at the Emirates Stadium on Thursday.
Danny Welbeck scored twice against AC Milan to toast his England recall by sending Arsenal into the last eight of the Europa League.
Ipswich striker Joe Garner will not play again this season after it emerged he suffered a fractured skull against Sheffield United last week.