"The statement issued in Riyadh on April 17 was clear ... For the brothers in the Gulf Cooperation Council (GCC) the dispute is over," Khaled Al-Attiyah told a press conference in Kuwait after a meeting with his Kuwaiti counterpart Sheikh Sabah Khaled Al-Sabah.
GCC foreign ministers met last week and announced an end to months of unprecedented tensions between Qatar and Saudi Arabia, the United Arab Emirates and Bahrain.
Attiyah's statement was the first Qatari comment on the special ministerial meeting held in Saudi Arabia.
"Brothers in the GCC states arrived at understandings which are not considered to be concessions by any party," the Qatari minister said.
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Attiyah said it is now "left for the brothers in the GCC states to send their ambassadors back" to Doha.
A statement attributed to Saudi Arabia that the three ambassadors would not return until Doha started to implement the agreement was "inaccurate", he said.
Kuwait and Oman also belong to the six-nation GCC.
Attiyah declined to provide details on the Riyadh agreement but reiterated that it signalled an end to the "differences in opinion".