Burnley has been running the centre since April and about 40 junior players have paid a significant amount of money - $660 for a block of six months - for quality coaching.
Englishman Craig Doble was contracted by the club to provide coaching services, and also coached the premier team at the Green Island club, where the development centre is based.
Doble left New Zealand earlier this month, after telling parents at a meeting he had ''visa issues'' to sort out.
But Doble has not been in contact with Burnley, which has rushed its Australian-based academy boss to Dunedin to find out more information and assure parents the centre will be operating as normal.
The club is also looking into suggestions Doble left Dunedin with some unpaid bills, not related to the centre.
Malcolm Fleming, the former Otago United and Green Island coach who has been working for Burnley in Perth, has returned to Dunedin to replace Doble.
Paul Wozny, head of Burnley's Australasia programme, was heading to Dunedin last night to speak to parents.
''I need to find out what's going on,'' he told the Otago Daily Times from Christchurch.
''Craig [Doble] told me absolutely nothing. Then I find out he's going to Christchurch, then to Auckland, then Melbourne. Then I hear he's going home.
''He hasn't told me anything for three weeks. It's totally out of order not to tell people what's happening.
''It's to do with visa issues, apparently. But then why would he go straight back to England?''We've left him messages and emailed him, and he's ignoring us. I'm quite sour about it because this is not how a person in our club works.''
Wozny did not want to comment on Doble's financial issues. But the Otago Daily Times understands Burnley has been contacted by people claiming Doble owes them money.
There is no suggestion Doble, who holds a Uefa licence, was not providing quality coaching to children in the centre. But parents had become frustrated by his poor communication.
Burnley was ''absolutely committed'' to the Dunedin centre, as well as its Christchurch centres, Wozny said.
''We intend to continue running the programme. There has never been a question of pulling out.
''If there are things to put right, we'll put them right. We're absolutely genuine about what we're doing down here. We've invested a lot of time and money, and you don't walk away after just six months.''
Fleming will take the coaching reigns immediately, and catch-up sessions will be offered to make up for sessions Doble cancelled.
Green Island president Mark Stewart declined to comment on Doble's abrupt departure, as it was related to the Burnley centre, not the club.