He has been criticised for staying silent after two young black people said they were detained by police when they bought expensive items from Barneys Manhattan store.
An online petition and Twitter messages from fans have called on the star to leave his upcoming partnership with Barneys for the festive season.
The deal will see the store selling items by top designers that have been inspired by Jay-Z, with 25% of proceeds going to his charity.
But Jay-Z - real name is Shawn Carter - said he had not spoken about it because he was still trying to find out what happened.
"I haven't made any comments because I am waiting on facts and the outcome of a meeting between community leaders and Barneys," he said in a statement.
"Why am I being demonised ... for not speaking immediately?"
The two Barneys customers, Trayon Christian and Kayla Phillips, were detained by police after making expensive purchases.
Mr Christian has sued Barneys, saying he was accused of fraud after using his debit card to buy a £217 belt at the store.
Ms Philips intends to sue after being stopped when she bought a £1550 Celine handbag in February.