The Glens were thrown out of this year's competition after Crowe was found to be ineligible to play in the victory over Newry City in the last eight.
A subsequent appeal was dismissed by the Irish FA with the Ovalmen then making the decision to seek arbitration over their expulsion.
“This is us moving through a legal process with the IFA to find a fair outcome and that’s what we’re doing," said Glentoran boss Mick McDermott last week.
"This is not a club-to-club battle. This is not us against Newry or us against Ballymena. It’s not us against Crusaders."
The original semi-final date was Saturday 2 April, however, Ballymena told fans on Twitter organisers hope to have confirmation of their opponents by Friday 22 April.
Crusaders await the winners of the second semi-final following their victory over Cliftonville.
This year's Irish Cup final is scheduled for Saturday 7 May at the National Stadium.