I don't think should definately be an englishman but the right man for the job.
From the thisislocallondon.co.uk
Englishman George Warr professed the first lecture on logics on 3 October 1576.
From the en.wikipedia.org
Englishman Pat Fry has come in to oversee strategy following the Abu Dhabi debacle.
From the telegraph.co.uk
Englishman Serge Carrefax arrives in Egypt as British rule is dissolving.
From the washingtonpost.com
Englishman Button crashed at the same spot in 2003 and was unable to race due to injury.
From the nzherald.co.nz
Englishman Seve Benson never has seen so many people on a golf course.
From the post-gazette.com
Englishman Nigel Mould ran two companies in Europe before retiring to Sarasota last year.
From the heraldtribune.com
Englishman Ian Poulter was unable to defend his Australian Masters crown.
From the couriermail.com.au
An englishman dressed as Hannibal Lecter waited outside the judiciary.
From the couriermail.com.au
More examples
A man who is a native or inhabitant of England
The English (from Englisc) are a nation and ethnic group native to England, who speak English. The English identity is of early mediaeval origin, when they were known in Old English as the Anglecynn. ...
Englishman is an album by Jamaican dancehall musician Barrington Levy, released in 1979 (see 1979 in music). A relaxed, sultry album, Englishman was one of Levy's most popular albums, especially outside of Jamaica.