No, sorry "An English..." is wrong.
The English = all the English
eg. "The English like to talk loudly to foreigners"
English (without an article) = the English language
eg. "English is easier to learn than French"
In each of those two cases English can also serve as an adjective eg. "The English climate is hard to tolerate" or "English wine is not as bad as it sounds"
But in the case of "An English..." that can only be an adjective so it better be followed by a noun
eg. "An English man", "An English football team", "An English accent"