Analysts estimate that a political standoff between Qatar and other Arab states will cost the airline heavily. He believes that there is a good chance that progress will be made.
Saudi Arabia, the United Arab Emirates, Bahrain and Egypt cut links with Qatar last Monday, accusing Doha of supporting and financing terrorism in the Middle East and elsewhere - a charge Qatar denies.
Mohammed al-Sada said in a statement: "circumstances in the region shall not prevent the state of Qatar from honouring its global commitment of cutting its oil production".
Nationals of countries that cut diplomatic ties with Qatar this week are free to remain in the Gulf state in line with existing regulations, according to the ministry of interior.
"The state of Qatar has not taken any steps regarding the inhabitants on its territories, who are the citizens of brotherly and friendly countries which have cut diplomatic relations or downgraded diplomatic representation with the state of Qatar in the wake of biased and hostile campaigns against the state of Qatar", the government said in a statement.
The NHRC head, Ali bin Smaikh Al-Marri, described the incident as a flagrant violation of the right to practice religious rites as permitted by human rights conventions.
Saudi Arabia said on Sunday it was ordering "suitable measures" to help families with mixed citizenships, but provided few details.
The statements carried by their official news agencies did not specify what services the hotline would provide.
The decision will come as a relief to the more than 11,000 people from Saudi Arabia, the UAE and Bahrain living in Qatar.
The Kuwaiti foreign minister said in the statement that his country is "determined to find a solution to the current dilemma".
Following the blockade, Iran, a main rival of Saudi Arabia, offered its support to Doha, urging Qatar and neighboring Gulf countries to engage in dialogue to resolve their dispute. The land border with Saudi Arabia, through which 40 per cent of Qatar's food comes, has been closed.
Al-Khalid added that "Kuwait stresses the inevitability of solving this disagreement within the Gulf framework", and that Kuwait will "continue to mediate with the aim of mending fences and to address the root causes of the differences".
Saudi, UAE and Bahraini citizens were also given the same timeframe to leave Qatar.