Giovanni Trapattoni remained defiant after seeing Sweden leave Ireland's hopes of World Cup qualification hanging by a thread.
The race for second place in Group C took a painful turn for Ireland when the Swedes fought back to win 2-1 at the Aviva Stadium and put themselves into pole position.
There were boos from a capacity crowd in Dublin on the final whistle, but asked if that reaction signalled that it was time for him to go, the 74-year-old Italian came out fighting.
Trapattoni said: "No. I think we have done until now, a very, very great job, a great job - not a good job, a great job.
"We have changed many players in the squad and in the team and before the game, we were level in the table with a great team like Sweden.
"Our job until now has been very, very great. Obviously, supporters when they lose in Italy, here, in England, they boo. It's normal."
With Ireland, Sweden and Austria starting the night locked together on 11 points, it was the Swedes who were the big movers as Germany beat Austria 3-0 in Munich.
The Republic head for Vienna on Tuesday night, when Sweden play in Kazakhstan, knowing anything less than victory would wreck their feint hopes of a dramatic recovery.
Trapattoni, who had targetted four points from the double-header, said: "Obviously, our position at this moment is difficult, but our dream must stay alive because we have another very important game against Austria.
"Obviously, we need to beat Austria. It's not easy because Austria also lost against Germany, but until the table says we are completely out, we must think [we can do it].