Gibson withdrew from the Ireland squad for next week's qualifier against Kazakhstan and said that he did not feel ready to return to action for his country.
The Everton midfielder is angry at not playing during the European Championships, but Trapattoni thinks that Gibson needs to look towards the future, and quickly.
He said: "In the past we were frightened about missing players, but now we already have a squad.
"He explained to me that he was disappointed.
"I understood but I said to him this is a time for a new opportunity."
Trapattoni wants a decision from Gibson in time for Ireland's game against Germany in October.