The Baggies were nothing short of woeful last season, and finished their campaign at the bottom of the Premier League table, five points adrift of 17th placed Southampton.
One particular area where the Black Country outfit really struggled was in the final third, with their tally of just 31 goals scored playing a major contributing role in their relegation from the top flight.
The Hammers rate the young Spaniard very highly, but his chances of earning regular first-team football this season seem unlikely, so West Brom might just be able to take him on loan for the season.
The 20-year-old joined West Ham from Valencia in the summer of 2016, but has made just three senior appearances for the club.
He has been on fire for the Hammers' developmental squad, however, chalking up 25 goals in 29 outings.
Martinez has a huge point to prove this season, as he is now reaching an age where he must start producing, and that kind of hunger could prove to be a real asset for West Brom this term.
Moore should not hesitate to bring the lively forward to the Hawthorns this summer, and if West Brom do manage to sign the Spaniard, it could turn out to be a real coup for them.