Dimitar Berbatov's penalty midway through the second half drew the visitors level at Goodison Park, but Martinez revealed his admiration at the way his side closed out the game and secured the three points that lifted them to fourth in the Premier League.
|13/10||Everton are 13/10 with Bet Victor to beat Swansea next Sunday|
"I thought in the first half we controlled the game. Second half you have to give great credit to Fulham, and they were well organised.
"We didn’t have anything to lose and we were brave in the final third. I think the scoreline flattered us as it wasn’t a 4-1 performance."
The Toffees came into the match off the back of taking four points from visits to Manchester United and Arsenal, and Martinez was happy at the way his side were again able to react to conceding a goal against the run of play.
"We’ve been very good this season and what we try to do is with attack in mind," he said.
"We conceded a goal undeservedly against Arsenal but got a draw. We did the same today but I thought we were focused and difficult to handle on the counter-attack."
Martinez confirmed that Gerard Deulofeu is set for a spell on the sidelines after sustaining a hamstring injury during the game.
The teenage winger, who was rewarded for scoring the equaliser at Arsenal last week with his second Premier League start of the season on Saturday, pulled up after 64 minutes at Goodison Park and had to be carried off.
"Gerard's injury is a negative. He's a sprinter and he's pulled his hamstring," Martinez told Everton’s official website.
"We have to be patient to get him ready for an important final third of the season."
Martinez also praised the work of new Fulham boss Rene Meulensteen, and the former Manchester United coach agreed that his team did not deserve to concede four goals for the second time on Merseyside this season.
"I don’t think it reflected the game, especially the second half. I thought we came back really strongly, got the equaliser and then conceded too soon after. That took the wind out of our sails, and then the third goal settled the game," he said.
“We’ve obviously had a difficult time and I think the players have responded superbly. In the first half we showed them too much respect but in the second half it was much, much better.
"It’s disappointing to see the scoreline was 4-1."