Injury to his anterior cruciate ligament and then ankle surgery meant the 27-year-old forward has made just 36 Premier League appearances over the last three seasons.
But a fit Rodriguez can be a huge plus for head coach Tony Pulis and FPL managers alike.
An impressive 2013/14 campaign demonstrates his potential.
Rodriguez delivered 15 goals and three assists from 33 appearances for Southampton, forging an effective strike partnership with Rickie Lambert.
Pulis will hope he can rekindle that form.
Intriguingly, Rodriguez was classified as a midfielder for the first time last season, priced at just £6.5m.
|Minutes per shot||30.4||26.6|
However, Pulis seems likely to ask his signing to lead the attack and perhaps compete with Salomon Rondon.
Rondon scored eight goals from 38 appearances last season but converted only 8.4% of his 94 shots into goals.
Rodriguez compares favourably with the Venezuelan over his two Premier League campaigns.
With five goals from 26 appearances last season, Rodriguez netted 15.1% of his 33 efforts on goal.
He also fired shots more frequently than Rondon in both 2015/16 and 2016/17.
Both price and position will be crucial to his early appeal, with the Baggies boasting promising fixtures.
If Rodriguez remains a midfielder but is handed a striker’s role by Pulis, FPL managers will be ready to swoop.