"My grandparents' lives were affected by Jim Crow, we mistakenly thought that Barack Obama was going to erase hundreds of years of history in eight years, that is ridiculous", she said.
"She's smart and amusing and honest", she said.
Michelle Obama has said the Queen branded royal protocol "rubbish" when they met during a visit to Windsor Castle.
Anthony, 25, is now a senior analyst at a business intelligence company and told the Press Association it was "amazing" to meet the former First Lady again.
"So I had all this protocol buzzing in my head, and I was like "don't trip down the stairs and don't touch anybody, whatever you do, '" Obama said".
Michelle Obama has revealed Queen Elizabeth II's surprising view on royal protocol at a speaking engagement in London on Monday. And I want them to know that Michelle and Barack Obama, who have a phenomenal marriage and who love each other, we work on our marriage.
'One of my primary goals for the eight years was to never become a meme, ' Obama added.
"Our Secret Service doesn't even let me ride around with Malia so up until that point we had never driven in a auto driven by anyone else, so it was like "this is what's going to happen, you're going to get out and sit here and this is what is going to happen".
She said: "It was a lot more of a personal interaction and honestly she is so believable because I feel like she really humbles herself, she really talks about things that we can relate to, she even spoke about doubt and how sometimes she also doubts herself and those are things that we can all relate to, no matter how accomplished we are".
"Of course your head is spinning because first of all I'm trying not to fall, which is a major thing that I think about in public".
Obama was speaking about fear of falling over when she met the Queen, when she famously broke royal protocol and touched the monarch.
"I still have a little imposter syndrome, it never goes away, that you're actually listening to me", she said. "After all those protocol lessons, I was human".
Obama also revealed husband and former US President Barack Obama is a big admirer of the Queen because she reminds him of his grandmother Toot. "He is a huge fan for sure".
Michelle Obama had a private meeting with Meghan, Duchess of Sussex.
The wife of the 44th president returned to the school as part of her book tour for her autobiography Becoming.