"African" is not a language. Africa is a continent that contains 54 countries and more than 2100 completely different languages. Some estimates place the number of languages at around 3000.
If you have any quesitons about African languages, you will have to specify the language.
The most prominent languages spoken in Africa are:
Afrikaans
Amharic
Arabic
English
French
Fula
Hausa
Igbo
Oroma
Somali
Swahili
Yoruba
Zulu
You say "What is your name?" in Yoruba language of the Western African origin as "Kini oruko e?".
You say "My name is..." in Yoruba language of the Western African origin as "Oruko mi ni...".
You say "if you have a beautiful name?" in Yoruba language of the Western African origin as "Oruko re rewa".
There is no such language as African
You say "How are you?" in Maasai language of the African origin as "Supa?".
You say My name is in Kisii language of the African origin as erieta riane.
You say What is your name in Kisii language of the African origin as chinsa irenga.
You say "What is your name?" in Maasai language of the African origin as "Kakop iyee igua?".
You say "What is your name?" in Yoruba language of the Western African origin as "Kini oruko e?".
You say "What is your name?" in Yoruba language of the Western African origin as "Kini oruko e?".
There is no language known as 'african language'
In Kisii language of African origin,"Nkorokwa..." has the meaning of "My name is..." in English.
African is not a language
You say "My name is..." in Yoruba language of the Western African origin as "Oruko mi ni...".
In Kisii language of African origin,"Naki okorokwa?" has the meaning of "What is your name?" in English.
You say "if you have a beautiful name?" in Yoruba language of the Western African origin as "Oruko re rewa".
If you wish to know how to say or write your name in an African language, you can consult a translator. Not all names have a direct translation in other languages, however.