But Wiesinger insists he is the right man to lead the club out of their current predicament.
Nurnberg have not won in their opening eight Bundesliga games and Sunday's heavy loss was a new low point in their season.
Wiesinger said in Kicker: "It is clear that questions will come.
"That was a real setback. Now we have to process it. We now have two weeks to lick our wounds. They are deep wounds.
"We will continue to find solutions and this time as well we will find a solution."
Wiesinger said the club's future was more important than his own.
He added: "I now also have to think about things for myself. I also scrutinise myself. It is not about me, the club has to come first. The game was brutally emotional for me."
There were chants of 'Wiesinger out' at the Stadion Nurnberg.
The coach added: "I can understand them, I can have no arguments at the moment."
For new Hamburg coach Bert van Marwijk, though, the win was a timely boost.
He told the club's website: "You certainly don't get a 5-0 every week in the Bundesliga.
"I have often said that I like attacking football. But allied to that is also a tactical discipline."