The Argentina international has been strongly tipped to swap San Siro for Camp Nou at the end of the season, two years after joining the Italian giants from Racing Club.
Inter chief executive Giuseppe Marotta has stressed Martinez is not for sale, with the forward's €111million (£98.8m) release clause expiring earlier this month.
And Martinez, who has formed an impressive partnership with Romelu Lukaku this season, has insisted he will give his all for the club as long as he remains an Inter player.
"I am a boy who always fights - for my goals, for those of the team, for the happiness of the fans," he told Inter's matchday programme ahead of Wednesday's clash with Fiorentina.
"I always try to give 110 per cent for this club, for all the people who love it, for the Inter shirt."
Martinez scored 16 goals in all competitions prior to the campaign being halted in March by the coronavirus pandemic but has netted only twice in 10 games since last month's restart.
Conte has repeatedly defended Martinez's form and the 22-year-old is grateful to have the full support of his head coach.
"Conte has given me confidence," he said. "That is a very important and fundamental thing, because he worked on the mentality of each of us.
"I really appreciate it, every day he makes us grow."