Her remarks came after the Duke and Duchess said, in their recent interview with Oprah Winfrey, that a senior royal had questioned what colour the skin of their then unborn child would be.
In 2015 the Duke of Sussex spent time with Mrs Obama in Washington when he was promoting the Invictus Games.
Four years later Mrs Obama was interviewed by the Duchess for Vogue.
During their interview with Ms Winfrey the Sussexes also talked about being “trapped” in royal life.
Mrs Obama has herself admitted to sometimes feeling lonely and isolated when she lived in the White House.
She told Ms Bush Hager: “Public service, it’s a bright, sharp, hot spotlight, and most people don’t understand it, and nor should they.
“The thing that I always keep in mind is that none of this is about us in public service. It’s about the people that we serve. I always try to push the light back out and focus it on the folks that we are actually here to serve.”
In August Mrs Obama said she was suffering “low-grade depression” brought about by a mixture of “quarantine and racial strife”.
During her interview with Ms Bush Hager, for NBC’s Today programme, she said: “The darkest points were when we got bombarded by everything, a virus that felt out of control with no clear solution, the country shut down, racial unrest, seeing young people despair. It was a lot, and it continues to be a lot.”
Ms Bush Hager asked her about the deaths of George Floyd and Breonna Taylor, black people who died in incidents…