The French acknowledged his letters referring to racing venue (6)

I believe the answer is:

lemans

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'his letters referring to racing venue' is the definition.
I don't know anything about this answer so I can't tell whether this works.

'the french acknowledged' is the wordplay.
'the french' becomes 'le' ('the' in French).
'acknowledged' becomes 'mans' (I can't explain this - if you can you should give a lot more credence to this answer).
'le'+'mans'='LEMANS'

Can you help me to learn more?

(Other definitions for lemans that I've seen before include "Former mistresses" , "Old lovers" .)

I've seen this clue in The Irish Times.

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