[TheAceOfHearts]

You're demonstrating the exact point by showing that they have an ASCII name and an official one. If you're having a regular conversation with someone you're probably going to use Ivory Coast and not the French name.

[lxgr]

That's arguably an English name, not an "ASCII name". (If there was one, it would probably be "Cote d'Ivoire".)

[PhilipRoman]

...or, as some languages do, even "translate" it by pronounciation: Kotdivuāra