As the pair walked around the grounds of Buckingham Palace for about 90 minutes suddenly, Ma'am was reminded of the current US President.
The UK is still waiting for the USA leader to make an official trip, more than a year after Theresa May invited him, but by contrast Mr Obama and wife Michelle struck up a long-lasting friendship with the British royal family after his state visit in 2011.
It also features other members of the royal family as well as the actress and campaigner Angelina Jolie, who has taken part in the environmental project and is shown describing the queen as "a lovely lady".
"The Queen certainly knows what's going on and certainly knows what's going on in the world of conservation".
But that's exactly what the Queen did, though, when a helicopter flew over the garden in which she and Attenborough were walking.
She was filmed complaining about the noise while strolling in her private garden at Buckingham Palace with British broadcaster Sir David Attenborough last June.More news: Google India files appeal against antitrust watchdog over 'search bias' verdict
During another light-hearted moment, the monarch spots a sapling bent over at an alarming angle, remarking: "Somebody sat on it I think, at the garden party".
Queen Elizabeth plants a tree in Northern Ireland.
The pair look at trees planted in the palace garden to mark the birth of the queen's children, and Attenborough is seen squatting down to read the plaques as they try and work out which tree corresponds to which prince or princess. Jolie praises the Queen for supporting the Queen's Commonwealth Canopy (QCC), which aims to open up a network of protected Commonwealth forests around the globe.
"So, if all countries continue to plant, it might change the climate again".
"She is very unsolemn, very good at putting people at their ease", he said. "It was then, that she went ahead and said", Sounds like President Trump", and then quickly added, "Or President Obama", thus in her own way making history.
The Queen's Green Planet will be broadcast on UK ITV at 9pm on Monday 16 April to coincide with the beginning of the Commonwealth Heads of Government meeting in London.