Paul Sculthorpe, Kris Radlinski, Sean Long and Danny McGuire are all missing through injury, while former skipper Andy Farrell has switched codes to rugby union.
Australia and New Zealand have already impressed in picking up one win apiece Down Under and Great Britain head into their opener against the Kiwis at Loftus Road next Saturday as underdogs, and a week later at the JJB Stadium against the Aussies.
But Carney - who starred in Great Britain's run to last year's Tri-Nations final - is convinced the Lions have the squad to challenge the southern hemisphere sides.
"They are a loss because they are outstanding players and immensely talented," said the Irishman, who next season will be joining Newcastle Knights in Australia.
"But we played a Super League match against St Helens a few weeks ago when they lost Sean Long and Darren Albert and they'd lost Paul Sculthorpe and Vinnie Anderson already. Sometimes when you're missing your big players somebody steps up and shows what they can do.
"While it's a great loss to be without those players, it's not something were going to be dwelling on, because that's going to achieve nothing."
As for Farrell's absence, Carney added: "Great Britain won't miss Andy Farrell as much as we've missed him at Wigan.
"That's obviously not to say he won't be missed, but the impact Andy Farrell had on the Wigan Rugby League club probably won't ever be equalled and, maybe shouldn't be equalled."
Both tickets and hospitality for the game at the JJB Stadium on 5th November are selling quickly. For more details [click here].