The Italian has faced calls to resign following his side's 6-1 World Cup qualifying defeat to Germany on Friday, but insists he retains the respect of his squad
The Boys in Green were ruthlessly outclassed by Joachim Low's side at the Aviva Stadium on Friday as they suffered their heaviest-ever home defeat.
However, Trapattoni has insisted his squad still respect his methods and refused to reference calls for his sacking.
"We give them jobs and we have a system to get goals, and the players believe in this,” he told BBC Sport. "The team tries to do what we ask and they are also happy to do it.
|2/1||Giovanni Trapattoni is 2/1 to not be the Republic of Ireland manager on New Year's Day with Paddy Power|
"I reminded them that when they play at their clubs and they lose a game, they often have another one after three days and they have to start again for that next match with the same enthusiasm and immediately forget the defeat."
The 73-year-old preferred to focus on his side's next game, calling for his squad to bounce back in style against the Faroe Islands on Tuesday.
"We have to re-charge the batteries and focus on the next match in the Faroes on Tuesday," he added.
"We can accept defeat against Germany. Realistically, we were never going to compete against Germany for first place in the group.
"Our target is not Germany, our target is Sweden and Austria, and in the next game, the Faroes.
"We have to win and we will look to win."