There's no way I'm aware of. As you noticed, there's a cap on the number of entries returned for to the size of the data set.
Number of players from each country
Sort:
Mar 18, 2023
0
#3
Worth reading this comment from previous thread.
https://www.chess.com/clubs/forum/view/error-with-https-api-chess-com-pub-country-id-players?page=3#comment-72045953
Mar 18, 2023
0
#4
Tricky_Dicky wrote:
Worth reading this comment from previous thread.
https://www.chess.com/clubs/forum/view/error-with-https-api-chess-com-pub-country-id-players?page=3#comment-72045953
Thanks for the pointer to the thread! Informative to know the backstory on the limits on the country endpoint 
Hi!
Is there any convenient way of obtaining the number of chess.com members (or active players) from each country? Was thinking about making a small app displaying which countries has the highest per capita membership on a (heat)map. Not sure how viable this is via the API, though. If I try to use the "...country/{code}/players" endpoint I only get the first 10 000 players for any country that has more members than that.