Martinez has had an opportunity to impress over pre-season, and he appears to have taken it with both hands.
The 19-year-old has played in both West Ham’s friendlies during their tour of America, and he has caught Slaven Bilic’s eye.
However, the Croatian boss insists that Martinez will not be a permanent inclusion in West Ham’s first-team this season - as they are still looking to strengthen their forward line.
“Martinez has showed that he definitely has a future with West Ham, but we are competing in the Premier League and they are still too young,” Bilic said.
“Some of them can do what [Marcus] Rashford did for Man United last season, but to play a full season with them from the start would not be the option we want. They can emerge and surprise and amaze us and the league, like Rashford, but we are still looking to get a striker if we can, but only if he is a better striker than what we have.”
Martinez is one of a number of promising players currently breaking through at West Ham.
The Hammers have kept one eye on the future with their transfer dealings, and they also snapped up Manchester United’s Ashley Fletcher yesterday.
West Ham are still expected to spend big on a forward before the competitive season starts, as Bilic has plenty of funds to spend this summer.
West Ham lost their first friendly to Seattle Sounders 3-0, but they managed a 2-2 draw with the Carolina Railhawks last night.