In a statement, the Taliban said "talks with the American sides (will) continue" and given "the importance of the issue", its chief Hibatullah Akhundzada asked his deputy Mullah Baradar to appoint a new team of negotiators, Efe news reported.
Sher Muhammad Abbas Stanekzai, who was the head of Taliban's political office in Qatar and has overseen a series of meetings with the US Special Envoy for Afghanistan Reconciliation Zalmay Khalilzad, will continue to lead the negotiations, the report said.
The senior Haqqani was believed to have masterminded some of the deadliest attacks targeting US and Afghan security forces and their interests in the last 17 years of war.
Anas, a lesser-known figure in the Network now headed by his older brother Sirajuddin, was arrested in 2014 and remains in prison.
He was accused of directing the militant group's propaganda on social media and playing a crucial role in strategic decision-making and fundraising.
The Taliban on Tuesday renewed its demand for Anas' release to enable him be part of the team for talks.
"Anas Haqqani has been appointed a member of the negotiating team, but is still in prison. As he was a student (when he was arrested) and did not do any activity to lead to his imprisonment, therefore he should be released to start his new role as member of negotiating team," Taliban spokesman Zabihullah Mujahid told Efe.
Four former Guantanamo Bay inmates also figure in the list. Previously, a 10-member Taliban team was handling the negotiations with the US for ending the Afghan conflict.
The new team was formed a day after acting Pentagon chief Patrick Shanahan made an unannounced trip to Afghanistan and denied that he had received orders from President Donald Trump to reduce its US military presence in the war-torn country.
The pull-out of foreign troops from Afghanistan is one of the Taliban's key demands in peace negotiations.
The two sides have held several rounds of talks in the United Arab Emirates and Qatar amid opposition by Afghan President Ashraf Ghani's government, which insists on having a central role in the peace talks.
The Taliban has refused to engage with the government in Kabul.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)