Marc Ingla insists that Real Madrid Mourinho was interviewed for the job in a new book about the European champions.
Technical director Txiki Begiristain joined Ingla for the meeting but Mourinho's attitude was the key factor in the pair choosing current coach Pep Guardiola instead of the former Chelsea manager.
Ingla said: "I said to him, 'Jose, the problem we have is you push the media too much. There is too much aggression.
"I added, 'the coach is the image of the club, you cannot start fires everywhere, this is against our style.
"Mourinho answered, 'I know, that is my style. I won't change'. He was renowned to be No 1 but wouldn't listen."
Barcelona will face Real Madrid in the second leg of the Copa Del Rey quarter-final on Wednesday.