Barkley has become a key player for club and country in recent times, but Hodgson and Martinez both felt that he needed to start making a more notable impact in matches.
And the 22-year-old has responded to their challenge, by scoring eight times in 25 Premier League games to date this season.
“One of the thing we have talked about - when I say we I mean Roberto and I - is that he needs to add more goals to his game,” Hodgson said. “He has such ability, and I think he’s doing that now.”
Barkley looks a certainty to travel to France with England for Euro 2016, providing he stays fit until the end of the season.
One of the main debates is whether he could perform in the same team as Tottenham Hotspur’s Dele Alli.
Alli and Barkley have been two of the best performing players in the Premier League this season, but both are more comfortable going forward than in defensive situations.
However, Hodgson has hinted that he feels that the pair could play in the same midfield.
“It depends what system we play,” the Three Lions boss said. “We have several formations. There’s no reason that they cannot play together, because they’re all round players."