The Spaniard went into the Abu Dhabi season-ender in the lead in the standings but an early pit-stop backfired, leaving him to finish the race seventh while Red Bull's Sebastian Vettel won to take the crown.
“I asked myself if it was right or not to stay. It seemed a reflection I had to do, a responsible one. I'm not attached to the hotseat,” Domenicali told La Repubblica on Tuesday.
“However, I reached the conclusion that to resign would have been an error.”
He said he had not feared the sack but did not sleep for two days after the race.
Domenicali, whose team will unveil their 2011 car at the end of January after it passed a series of mandatory crash tests last month, is now raring to go for the season having admitted Red Bull were “objectively” quicker than the Italians last year.
“I know the team and I think I am the right person to capitalise best on what we have done in these months,” he said.
“From a methodology point of view, at Maranello we have changed almost everything and I'm certain that soon we will see the results of all this work.”
The sport's most successful team, who finished a distant third overall last year with Alonso and Brazilian Felipe Massa, said on their website (www.ferrari.com) that their factory was fully back to work after the Christmas break.
“The new season beckons, with the launch of the new car planned for the final week of this month, while testing gets underway on Feb 1 at Cheste's Ricardo Tormo circuit near Valencia,” the team said.
Alonso and Massa will take part in a media event with Italian MotoGP rider Valentino Rossi, now with Ducati, in the Dolomites next week.