The former Wigan manager is keen to ensure the Catalan teenager, on loan from Barcelona, remains at Goodison Park for a further season rather than return to Camp Nou
Deulofeu signed with Everton on a season-long loan deal at the start of the season and Martinez is keen to keep the 19-year-old at Goodison Park for the 2014-15 Premier League campaign too.
Comments made by Deulofeu on Catalunya Radio last week where he stated he is "working hard with the aim of returning to Barca next season" had cast doubts over Martinez's plan, but the Spanish manager remains hopeful.
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"The answer is going to be, as a Barcelona player who has been there since he was eight, yes because that's his focus and wish for the future.
"But the interview does not imply he definitely will not remain here next season.
"He never said he's not enjoying his time at Everton. He has loved the test in the Premier League and being with us."
Deulofeu has made 15 appearances in the Premier League so far this season, scoring twice, and Martinez is convinced the teenager has benefited from his time in England.
"We all share the view that nobody will be prouder than every Everton fan, and person connected with Everton, to see Gerard Deulofeu's career has improved here," Martinez said.
"We've benefited from having his talents with us. Our agreement with Barcelona was to have him for one season though and that's where we are."