The Houthis have withstood five years, although they only embrace what he described as the Wali al-Faqih doctrine.
Ben Brik, known for his strong association with the UAE, added that the negotiations were neither under threat nor under the bombardment of planes, and that they would be patient and withstand whatever the circumstances.
The Saudi-UAE alliance has confirmed that it attacked one of the targets in Aden after setting an hour for a ceasefire, and warned of the use of force against the violators.
Ben Brik urged the people of Aden to be patient and steadfast, stressing that they will pass through difficult days, and will cut off all aid, and that they should "rally around the leadership" in the face of those measures.
The remarks appeared to be striking that they came a day after Aden's military rebellion against forces loyal to the legitimate government, and also in response to statements and attitudes of Saudi Arabia were originally "weak" - as many see it - about what happened in the Yemeni interim capital.
Some described Ben Brik's remarks as an extreme insult to the Saudi authorities, which are supposed to be one of the most important allies of the anti-Houthi forces and military formations. They also pose an implicit threat to Saudi Arabia fighting in the south as the Houthis do in the north.
The writer and political analyst Yassin Tamimi - in an interview to the island - that this talk came within the margin allowed to Hani Ben Brik, but he used it to insult Saudi Arabia and disregard and show them weak and unable to defeat the Houthis.
Al-Tamimi added that Ben Brik, in his recent speech, leaned on the UAE's open support, even if it was an abuse of the role of Saudi Arabia and its inability in the war with the Houthis.
While Ben Brik's remarks are remarkable and exciting, it seemed surprising to many that the Saudi authorities and even the defenders who usually defend them ignored them, despite the clarity of their significance and the frankness of the messages they conveyed to the Saudi authorities and their role in Yemen.
Yemen's Interior Minister Ahmed al-Maisari accused Saudi Arabia of silence over the coup.
The interim capital, Aden, fell to the UAE-backed Southern Transitional Council after four days of fierce fighting between the two sides amid almost complete silence from the Saudi-UAE alliance.