Fans have reacted angrily to the 22-year-old's departure for Anfield during the final hours of the January transfer window.
Pardew, whose side host Arsenal tomorrow, said: 'Unfortunately, it's one of those things that isn't going to go away for a long period, I shouldn't think.
Hero: Carroll was treated as a god at St James' Park and some fans cannot believe he has joined Liverpool
'We have to deal with that and we have to cope with that. It's not about one player, of course, it's about Newcastle and we have to be resilient, be strong in our minds that it isn't going to affect us.
'If we start thinking it will, then it most certainly is going to. But I just feel the emphasis of the team and the group is strong towards the club, and you will see that in the performance they put out. I have no doubt that we will do everything we can to try to beat a very, very good Arsenal team.'
Shock: The picture Newcastle supporters thought they never see - Carroll in the red shirt of Liverpool
The mood on Tyneside was not helped in the immediate aftermath of Carroll's exit by skipper Kevin Nolan, a boyhood Liverpool fan, conducting an interview with the Reds' official television station in which he spoke of his delight for his close friend.
Nolan, who will lead his side into battle against Arsenal at St James' Park tomorrow, has since apologised for any offence he caused, and insisted he remains as committed as ever to Newcastle.
He told the Journal: 'I want to be here. I want to play for this club. If fans don't like what I said, I apologise.
'It was never meant to upset them, but Liverpool is a great club. I will say it again, everyone knows it.
'I am getting sick of the Andy Carroll saga. I want to put it to bed and get on with it.
'The last thing I want to do is start upsetting our fans. They have been brilliant all season, as they were last.'
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