Reece Simpson put 'Side ahead after 24 minutes before new signing Malik Donaldson doubled the lead two minutes later.
With half-time looming defender Shaquel Foyewa scored to make it 3-0 on 42 minutes, with in-form striker James Peagram scoring two minutes later to seal a fantastic first period for Franco Zabotti's men.
No further goals came 'Side's way, but Coggeshall did pull a goal back on 72 minutes to deny new keeper Lubimor Georgiv and his defence a clean sheet.
However that couldn't take the gloss off a fine display from 'Side, their best of the new campaign to date.
The Sky Blues are next in action on Wednesdsy 8th September away to league newcomers Park View. Kick-off for that match at the New River Stadium, in Tottenham, is at 7:45pm.
'Side: Lubimor Georgiev, Jordan Cornelius, Shaquel Foyewa (Osas Umaru), Jay Jones, Elliot Scott, Reece Latimer, David Etcheri (Archie Hammond), Quincy Warner, James Peagram, Reece Simpson, Malik Donaldson (Muyiwa Osenie)
Subs Not Used: Martin Rodriques, Grant Frances