The former Manchester United man made his first appearance of the season at Fulham on Tuesday, playing 70 minutes of the 2-1 Capital One Cup defeat at Craven Cottage.
The 25-year-old has been out since sustaining knee ligament damage against Real Betis in the club's final pre-season match of the season in August.
Gibson admits the timing of the injury, on the eve of the new campaign, was immensely frustrating but is confident he can now stay fit for the rest of the campaign.
"It was disappointing because I had looked after myself well in pre-season," said the Republic of Ireland international.
"I've come back fit and strong so, fingers crossed, I'll stay injury free now."
Everton boss Roberto Martinez revealed he was pleased with how Gibson coped against the Cottagers.
"Darron Gibson came through the game really well on Tuesday," he told the club's official website. "He finished over an hour of football which was the most optimistic case."