"Last year I would have bitten anyone's hand off to be in that Olympic final, let alone get a medal," he said.
Grabarz claims bronze in high jump
"There's loads of improvements I can make and I no way feel maxed out in any area. I know there's a lot to work on and my coach and I will sit down at the end of the season and discuss where we want to go.
"Coming from 44th in the world to winning an Olympic medal is no mean feat and it's a credit to the hard work I've done, but there's always going to be a little bit of me that wants more."
There was no happy return to action for Olympic champion
who finished third in the long jump.
who won gold at London 2012
was beaten by Aleksandr Menkov of Russia, who won the event with a distance of 8.18 metres, and American Christian Taylor.
Rutherford, who became the first Briton since Lynn Davies in 1964 to win the Olympic long jump title, was left disappointed by his performance.
"I felt good going into the jump, until I got into the pit after my first jump when I felt a bit of a twinge in my groin and maybe I was a bit silly to carry on," he said.
"I thrive off the thought of people gunning for me, I came here for feeling good, albeit a bit lethargic after the events of the last few weeks.
Greg Rutherford 'annoyed' with third at Birmingham Diamond League
"But I am a professional athlete I should be able to come out here and perform today. I feel like I let a few people down today."
finished second in the 400m hurdles - just behind Kaliese Spencer, who was then disqualified.
The Jamaican appealed the decision which was upheld and she claimed victory.
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