Mr. El-Haddad said no such offer was made, but it would have been rejected had it been.
Mr. Mansour is expected to soon announce plans for reconciliation talks.
The Muslim Brotherhood, which describes Mr. Morsi’s ouster as a military coup and has been demanding his reinstatement at protests in Cairo and other parts of Egypt for almost two weeks, has rejected talk of reconciliation.
“It is ironic to call for reconciliation talks without sending positive signals to those whom they want to invite to the table,” Mr. El-Haddad said. “At the moment they are sending live bullets in our direction. That is hardly an invitation to reconciliation.”