Brian Eastwick's side will take on their Romanian counterparts in North Lincolnshire on Sunday October 14, with the game kicking-off at 3pm.
Cork, on-loan at Scunthorpe from Premier League giants Chelsea, is part of the U-19 setup and in the squad for Tuesday's clash with Belarus at Meadow Lane.
England will host Iceland, Romania and Belgium in a mini-tournament in the first qualifying tound of the Championship.
They will face Iceland at Doncaster's Keepmoat Stadium on Friday October 12.
Three days later they head to Glanford Park, and on Wednesday October 17 meet Belgium at Barnsley's Oakwell ground.
Tickets are £5 on the dat, £3 if booked in advance. Concessions are £1.