Archer recently scored a stunning goal for Hednesford Town where he ran the length of the pitch before beating the keeper.
The pace merchant plays as a winger and striker in the Northern Premier League Premier Division.
Clubs have made more of an effort to scout the lower leagues of English football since the rise to prominence of Jamie Vardy, who plied his trade at several lower-league sides.
West Brom, managed by Darren Moore, are no different in this regard.
The Baggies currently sit third in the Championship, a point behind Leeds and Middlesborough.