The 62-year-old TV legend weighed in on the drama surrounding Live! on Wednesday at the Tribeca Film Festival while promoting her new show Greenleaf.
"Nobody should ever be blindsided," she told ET Online, referring to reports that host Kelly Ripa only found out about Strahan's departure when the news broke on Tuesday.
"I don't know who's in charge, but somebody should've said, 'This is going to happen.' You shouldn't have to read it in the paper. Ever."
She added: "Blindsided is never good."
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A source previously told PEOPLE that Ripa was caught off guard by the news, and is "hurt and upset" over the way the situation was handled.
"She totally understands why he'd take the job … it's a great job!" the source said. "But there is a way to go about things, with courtesy and respect and decency, and none of those things were done here."
Ripa was absent from Wednesday's episode of Live! and a source told PEOPLE that ABC doesn't know when she'll return – Ripa headed to the Turks and Caicos islands on a 20th-anniversary vacation with husband Mark Consuelos and her family, a source told PEOPLE.
With Strahan slated to leave the show, a source previously told PEOPLE that Ripa is looking to longtime friends Anderson Cooper and Andy Cohen as possible replacements.
However, daytime TV icon Winfrey has another idea in mind for the show.
"You think she'd want to do it by herself now? She could," Winfrey told ET of a possible replacement for Strahan. " I remember I had a co-host for a long time and I wanted to do it by myself so I get it."
Although she said she disagrees with Ripa being "blindsided" in the situation, Winfrey said Strahan will be a great edition to GMA because of his "natural talent."
"I think Michael is so great he's like a natural talent. We felt that from the moment he sat down in the seat next to her, don't you agree?" she said.
"He's going to be great on GMA – he won't get any sleep, but he will be great."