He is an English man who loved to eat an egg every day correct the articles

Dear Student, 

All articles used in the sentence are correct.
The sentence is: He is an English man who loved to eat an egg every day.

However, if by English man you mean a person from England then it is better to write it as a single word: Englishman.

So, the sentence is: He is an Englishman who loved to eat an egg every day. 

Regards,