His side were beaten 5-1 by Crystal Palace on Saturday.
The Magpies have been hugely disappointing so far, and find themselves second from bottom after 14 games of the campaign.
They were heavily beaten by Crystal Palace on Saturday afternoon, a side led by former manager Alan Pardew, as the Eagles secured a 5-1 victory.
There is no denying they are firmly in a relegation battle now, but McClaren insists he is the right man to guide them through a period adversity.
“When we get disappointments, can we recover? We are not doing. We have to find a solution to that,” he told BBC Sport.
"Sometimes you have to go through adversity, there is no one better than myself and the staff and we have to get the players to cope with that.
"Character and fight is built in adversity, we are going through it and we have to fight it. We are not coping very well in 95 minutes or game by game."
Whatever Steve McClaren may say, his position is sure to be firmly under scrutiny once again.
The loss on Saturday leaves them with just 10 points from 14 games and 19th in the table, with fierce rivals Sunderland moving out of the drop zone with a win over Stoke.
The Black Cats are only on 12 points, though, meaning it is certainly not an insurmountable mountain for McClaren’s side to climb.
With David Moyes now available having left Real Sociedad, though, there are sure to be calls for him to replace the former Derby County boss at St James' Park.