The Sunday Mail quoted presidential spokesman George Charamba in reporting Mr Mnangagwa and family members will receive the body at the airport named after the former president in the capital, Harare.
Mr Mugabe was the first post-independence leader of Zimbabwe who was initially lauded for liberating his country from white minority rule. "The Delegation pledged full support to government arrangements and programmes which are being drawn up and executed in close consultation with the family of the late departed", he said.
The body is expected in the country this Wednesday, with burial set for Sunday 15 September.
Around two thousand supporters, family members and government officials were on the tarmac at Harare airport to welcome Mugabe's remains as they arrived by charter flight from Singapore, an AFP reporter at the scene said.
Mugabe led Zimbabwe for 37 years before being ousted by the army in 2017. "Yet she has a duty of care to be with her husband's body at all times!"
Leo declined to say where Mugabe would be buried, saying only that his body would be taken to his palatial home in the city, known as the Blue Roof.
His burial at Heroe's Acre is still being contested.
Mugabe's family is pushing back against the government's plan to bury him at the National Heroes Acre monument in Harare and wants him to be interred in his home village, relatives have told Reuters.
About 500 mourners gathered in Zvimba, Mugabe's birthplace, 85 kilometers (53 miles) northwest of Harare, where his body will lie in state overnight. That historic moment was even more emotional for us because our own reggae superstar Mr Robert Nesta Marley was in Harare, at the invitation of Mr Mugabe, to perform, because Mr Marley's songs served as motivation for the freedom fighters. He held on to power for nearly four decades before being ousted in a coup in 2017.
The group, who included Vice President Kembo Mohadi, attended a private Catholic mass for Mugabe at the funeral parlour where his body is, officiated by a Zimbabwean priest.