It appears in the Washington post, but I'm not sure if there was ever a
full recording, unless somewhere in the archives of the baseball hall of
fame.
https://www.washingtontimes.com/news/2014/jul/3/lou-gehrig-luckiest-man-speech-full-text/

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On 7/3/2020 7:01 PM, JONATHAN A EIG wrote:
> Hi:
> I’m Lou Gehrig’s biographer. For 20 years I’ve been searching for a recording of Gehrig’s farewell speech—perhaps the most famous speech in all of American sports. As best as I can tell, only four sentences of the speech have been preserved on audio or video. The rest is missing. Gehrig gave the speech on July 4, 1939 at Yankee Stadium in NY. The discovery of the full speech would be a big news story. It would also be a source for great happiness among people with ALS, or Lou Gehrig’s disease, as it’s known.
>
> Can anyone offer me suggestions for where to look for a complete recording of the speech?
>
> Thanks,
> Jonathan Eig
> [log in to unmask] <mailto:[log in to unmask]>
> 773-991-8841
> www.JonathanEig.com <http://www.jonathaneig.com/>