Dictionary.com
Thesaurus.com

that said

American  
[that sed] / ˈðæt ˈsɛd /
Also that being said

idiom

  1. regardless of what has just been said; nevertheless.

    The place could’ve been cleaner, and the furnishings were pretty old—that said, we had a great time and would stay there again.


Etymology

Origin of that said

First recorded in 1920–25

Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

That said, the Seahawks do not play the Rams as well as they play the rest of their opponents.

From Los Angeles Times

That said, this is going to be an unforgiving weather front, which could even cause fatalities; it’s a time when neighbors band together.

From MarketWatch

That said, lower-income households will still get a share of the extra refund money, albeit a smaller slice.

From Barron's

“This is our land, so we are not selling it, and everybody is saying that,” said Sven Jensen, walking to Nuuk’s harbor in search of day work.

From The Wall Street Journal

That said, I have to read one more smackdown.

From Slate