The Premier League outfit had been scheduled to play NAC Breda but the Eredivisie side pulled out for safety reasons and were replaced by third-tier opposition.
|66/1||Swansea City are 66/1 with Coral to win the FA Cup
The tone was set after 18 minutes as Michu converted from close range after Angel Rangel's effort had struck the bar.
New arrival Jonjo Shelvey laid on the second for the Spaniard three minutes later before grabbing one for himself.
Rangel and Nathan Dyer got in on the act before the interval to make it 5-0 to the visitors.
Laudrup made nine changes for the second half but the pattern of the game remained the same, with Pablo Hernandez's back-post header extending Swansea's advantage.
Kenji Gorre converted the seventh from close range before Irish striker Rory Donnelly took centre stage with a hat-trick in the last 21 minutes to clock up double figures.