Pardew concedes Newcastle will be a selling club for at least another two years, while Bruce admits it is inevitable his England midfielder Jordan Henderson will be sold eventually to one of the Barclays Premier League's giants.
Pardew is still coming to terms with thedeparture of 21-year-old Carroll to Liverpool and Shola Ameobi's fractured cheekbone, which has left him with three fit strikers and scouring the market for unattached players.
Double trouble: The North East giants have lost Carroll (left) and Bent (right)
But he says the sale of Carroll will eventually bring financial stability for Newcastle, who face Arsenal at St James' Park today. Pardew hopes to announce Joey Barton's new contract next week, and will open talks with Jose Enrique, although the Spanish left back has asked to delay negotiations until Premier League safety is guaranteed - a goal which became more difficult without Carroll.
The Newcastle boss said: 'The board made me aware they wanted to get the club on a financial footing which gives them a chance to build. Signing younger players and hoping they become successful in the Premier League is part of the policy of growing as a football club.
'Ideally you would like to keep someone like Andy Carroll, a young player who is from the area, but financially we could not keep him. I like to think I have that ambition, and in two or three years, if we can sustain our Premier League status, and keep investing the TV money wisely, we can hold off that next bid. At the moment we are not in that position and we have to accept that.
Inevitable exit: Bruce is resigned to the fact Henderson will leave soon
'It has been a difficult week and I am not trying to disguise it. We all have to live with the decision we made and we have got to get on with it.'
With new loan signing Stephen Ireland among seven senior players out for Arsenal's visit, Pardew revealed he has called winger Hatem Ben Arfa back from treatment in France to reintegrate with the squad.
The France player, a ?5m capture from Marseille last January, has been recovering at the French FA's academy at Clairefontaine since breaking his leg in October and Pardew wants to see him back on Tyneside before his return to match action in around six weeks.
Pardew said: 'I need him over here. I want to get him in and around the group because we are going to need him in the March, April and May period.
'He feels good, progress reports are very good and we need him here, embedded into the group, because we are all in this together whether you are injured or not. I want to see a bit more of him out on that training ground.'
Bruce's Sunderland travel to Stoke today with loan signing Sulley Muntari expecting to make his debut. The Inter Milan midfielder is added as cover for captain Lee Cattermole, who faces up to another month out with his back problem.
Stephane Sessegnon continues in midfield alongside Henderson, who is back in the England Under 21 squad after his senior international debut in November.
Bruce kept Henderson out of the clutches of Manchester United, Manchester City and Chelsea this month but he warned: 'I have said all along every player has his price, whether you're Cristiano Ronaldo or Wayne Rooney.
'We all know it is part of football, but the great thing with Jordan is his father and the lad himself are level-headed enough to realise the worst thing that could happen to him would be to go and disappear and sit on the bench for 18 months.
'Jordan is sensible, but there will be a time when he goes, unfortunately. Thankfully January is out of the way. 'It is up to us to protect him and there are times I could and should have left him out, but we have had injuries and he has not had a break for 18 months.' We must not let Carroll saga affect our season, says Newcastle boss PardewSteve Bruce refuses to guarantee Sunderland's star man Jordan Henderson won't be sold in the summerAll the latest Newcastle news, features and opinionAll the latest Sunderland news, features and opinion
Explore more:People: Hatem Ben Arfa, Steve Bruce, Andy Carroll, Joey Barton, Darren Bent, Cristiano Ronaldo, Lee Cattermole, Wayne Rooney Places: Liverpool, Newcastle, France, United Kingdom