Nigeria's Vice President Yemi Osinbajo has been the acting president since Buhari left the country.
When asked about how he felt about the theories about his health, President Buhari who said he has followed events in the country in his absence was "amused", according to the statement.
The comments came following protests in the capital Abuja demanding that Buhari "return or resign".
"I've now learnt to obey orders, rather than be obeyed", President Buhari was quoted as saying after informing the team that his health has improved tremendously.
Last month, his aides released a photo of Buhari having lunch in London with senior member of his ruling party, All Progressives Congress (APC), amid intense speculation in Nigeria about the President's health.
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Ambrose said he was recently granted a subpoena to have Bream testify, pennlive reported, but no date has been set. Parks Miller said that there could be additional charges following the investigation into the deleted footage.
Nigeria's President Muhammadu Buhari has said he feels well enough to go home after an extended period of treatment for an undisclosed illness in London, but he is awaiting his doctors' permission. "Here, the doctors are absolutely in charge".
The president, while also thanking well-wishers from within Nigeria and across Africa, said: "What we did in The Gambia early this year fetched us a lot of goodwill on the African continent".
"The exercise is to serve as mark of appreciation for the significant and unimaginable positive impacts the Buhari-led government has made, and to dissociate the right thinking and true Nigerians from unfounded and unjustified agitations for the unconditional and quick return of the President Muhammadu Buhari from his legitimate medical vacation in London". It gave us a lot of latitude.
Minister of Information, Culture and Tourism Lai Mohammed and Buhari's Senior Special Assistant (Foreign Affairs and Diaspora) Abike Dabiri-Erewa were also part of the president's guests. "May God reward them".